75813216964 has 27 divisors (see below), whose sum is σ = 137121841773. Its totient is φ = 36675554400.

The previous prime is 75813216959. The next prime is 75813216971. The reversal of 75813216964 is 46961231857.

The square root of 75813216964 is 275342.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 29260839364 + 46552377600 = 171058^2 + 215760^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17068984 + ... + 17073424.

Almost surely, 2^75813216964 is an apocalyptic number.

75813216964 is the 275342-nd square number.

It is an amenable number.

75813216964 is a deficient number, since it is larger than the sum of its proper divisors (61308624809).

75813216964 is an frugal number, since it uses more digits than its factorization.

75813216964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8948 (or 4474 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 75813216964 in words is "seventy-five billion, eight hundred thirteen million, two hundred sixteen thousand, nine hundred sixty-four".