977568672 has 48 divisors (see below), whose sum is σ = 2567859840. Its totient is φ = 325635072.

The previous prime is 977568653. The next prime is 977568689. The reversal of 977568672 is 276865779.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201993 + ... + 206775.

It is an arithmetic number, because the mean of its divisors is an integer number (53497080).

Almost surely, 2^977568672 is an apocalyptic number.

It is an amenable number.

977568672 is an abundant number, since it is smaller than the sum of its proper divisors (1590291168).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

977568672 is a wasteful number, since it uses less digits than its factorization.

977568672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 6917 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 57.

The square root of 977568672 is about 31266.0946074178. The cubic root of 977568672 is about 992.4662762029.

The spelling of 977568672 in words is "nine hundred seventy-seven million, five hundred sixty-eight thousand, six hundred seventy-two".