57677462640 has 400 divisors, whose sum is σ = 242410145472. Its totient is φ = 12407758848.

The previous prime is 57677462629. The next prime is 57677462653. The reversal of 57677462640 is 4626477675.

57677462640 is a `hidden beast` number, since 5 + 7 + 6 + 7 + 7 + 4 + 626 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 733722 + ... + 808518.

Almost surely, 2^57677462640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57677462640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121205072736).

57677462640 is an abundant number, since it is smaller than the sum of its proper divisors (184732682832).

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

57677462640 is a wasteful number, since it uses less digits than its factorization.

57677462640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74846 (or 74831 counting only the distinct ones).

The product of its (nonzero) digits is 11854080, while the sum is 54.

The spelling of 57677462640 in words is "fifty-seven billion, six hundred seventy-seven million, four hundred sixty-two thousand, six hundred forty".