(i) There are about 60! atoms in the universe.
(ii) We know Googol = 10¹⁰⁰
We can evaluate 70! as 1.197857 × 10¹⁰⁰.
i.e, 70! > 1 Googol
So the least integer whose factorial is greater than Googol is 70.

(iii) Shuffle a deck of cards and place it on a table. The top card could be any one of the 52 cards.
The card below it could be any one of the remaining 51 cards. And so on.
In this way, you can have this number of combinations :
52 × 51 × 50 × 49 × . . . . × 3 × 2 × 1
i.e., 52! combinations.
52! ≃ 8.06587175 . . . . × 10⁶⁷
which is a very, very, very large number!
So it is extremely likely that you are the first person ever to shuffle the cards in that particular order. (So will be with any other person).