The library would be vast, bigger than the observable universe by many many times. Even if each book was tiny as a bit of dust or the size of a single atom. Fill the entire earth, go up into the sky, filling everything, past the moon, sun, beyond the planets out to interstellar space, filling everything with books. All of that and you’ve covered not even a small fraction of the space required. The ink required to print the books would be a blob bigger that all of the oceans, actually bigger than filling all known space with ink.
It is hard to grasp the vastness required to contain 10^4677 of anything with a physical form.
Lou is absolutely correct – there are more pages of text in the library than there are atoms in the universe, so no matter how small they were printed, the books would fill the knowable universe many, many times.