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Humans have 3.2 billion base pairs. There likely has not and will never be two identically genetic humans, even identical twins are not perfectly identical due to mutations.
Now, obviously a lot of the genetic code needs to be similar, certain parts of our genetic code needs to be similar, so it isn't literally 3.2*10^9 factorial, but even a small fraction of that number is essentially infinite. I highly doubt there has ever been two identical humans or ever will be.
3.2 billion factorial is essentially arbitrarily large. It isn't even really useful to think of it as a number, as we couldn't even calculate what the number is. Visualize the largest quantity you can conceptualize, then square it until you get bored.