Numberphile and Vsauce actually tried to calculate, using the size of the observable universe, the Planck Length, and the number of possible quantum states the absolute maximum number of "things" the universe could, under ideal conditions, contain. They went so far as to try and calculate, again under perfectly ideal conditions how many "thoughts" could be contained in the universe.
Using the following assumptions:
The total amount of mass in the universe. They use the high estimate of 3.4 x 10^60 kilograms of matter.
The fastest possible computational speed. They use Bremermann's Limit of 1.36 x 10^50 bits per second per kilogram of matter.
How much is a thought? They used a low end estimate of a "thought" taking 800 bits of data, about a sentence's worth, to get across.
And working from the Big Bang to the Entropic Heat Death of the Universe, a time they estimate to be 3.154 X 10^116 seconds.
So given the above if every single spec of matter in the observable universe was computing new, unique 800 bit "thoughts" at Bremermann's Limit from the moment the universe began to the moment it ended the total number of thoughts that could exist under mathematically perfect conditions would be 1.458 x 10^227 thoughts.
So we'll use that as a hard upper limit. No suggestion that any conceptual idea could be less likely than 1 in 1.458 x 10^227 can even be entertained and any practical, real world probably must exist many, many, many, many magnitudes lower than that. Even under absolutely perfect conditions 1 in 1.458 x 10 to the 227th power is peak "Improbable." A hypothetical event with a probability of 1 in 1.458 x 10 to 227th power is the Planck Improbable.
So how many people are there total? That's a tricky question, depending on at what point you want to start calling us Human. I'll use the number the BBC used in answer to the "Do the living outnumber the dead" question that is oddly persistent. 108 billion for the total number of modern Homo Sapien Sapiens. It's ballpark but workable.
So 108,000,000,000 / 1.458 x 10^227. That's it. That's as high as this nonsense can go and that's using soooooooo many favorable assumptions it's functionally make believe on top of make believe.
Still doesn't equal "Virtually infinite." Still doesn't make the equation work.