677975579776 has 32 divisors (see below), whose sum is σ = 1473441248880. Its totient is φ = 308170717440.

The previous prime is 677975579767. The next prime is 677975579777.

677975579776 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 677975579776.

It is not an unprimeable number, because it can be changed into a prime (677975579777) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 240756966 + ... + 240759781.

Almost surely, 2^677975579776 is an apocalyptic number.

It is an amenable number.

677975579776 is an abundant number, since it is smaller than the sum of its proper divisors (795465669104).

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

677975579776 is a wasteful number, since it uses less digits than its factorization.

677975579776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481516772 (or 481516760 counting only the distinct ones).

The product of its digits is 8576612100, while the sum is 82.

The spelling of 677975579776 in words is "six hundred seventy-seven billion, nine hundred seventy-five million, five hundred seventy-nine thousand, seven hundred seventy-six".