677864055625 has 15 divisors (see below), whose sum is σ = 847084645363. Its totient is φ = 542274778000.

The previous prime is 677864055599. The next prime is 677864055629. The reversal of 677864055625 is 526550468776.

It is a happy number.

The square root of 677864055625 is 823325.

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

It can be written as a sum of positive squares in 7 ways, for example, as 675639612729 + 2224442896 = 821973^2 + 47164^2 .

It is not a de Polignac number, because 677864055625 - 2⁵ = 677864055593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (677864055629) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20566659 + ... + 20599591.

Almost surely, 2^677864055625 is an apocalyptic number.

677864055625 is the 823325-th square number.

677864055625 is the 411663-rd centered octagonal number.

It is an amenable number.

677864055625 is a deficient number, since it is larger than the sum of its proper divisors (169220589738).

677864055625 is an frugal number, since it uses more digits than its factorization.

677864055625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65886 (or 32938 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 61.

The spelling of 677864055625 in words is "six hundred seventy-seven billion, eight hundred sixty-four million, fifty-five thousand, six hundred twenty-five".