57677400756 has 30 divisors (see below), whose sum is σ = 150780119490. Its totient is φ = 19225800144.

The previous prime is 57677400713. The next prime is 57677400757. The reversal of 57677400756 is 65700477675.

It can be written as a sum of positive squares in only one way, i.e., 57054099600 + 623301156 = 238860^2 + 24966^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57677400757) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 89008011 + ... + 89008658.

It is an arithmetic number, because the mean of its divisors is an integer number (5026003983).

Almost surely, 2^57677400756 is an apocalyptic number.

It is an amenable number.

57677400756 is an abundant number, since it is smaller than the sum of its proper divisors (93102718734).

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

57677400756 is a wasteful number, since it uses less digits than its factorization.

57677400756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178016685 (or 178016674 counting only the distinct ones).

The product of its (nonzero) digits is 8643600, while the sum is 54.

The spelling of 57677400756 in words is "fifty-seven billion, six hundred seventy-seven million, four hundred thousand, seven hundred fifty-six".