57076631677 has 48 divisors (see below), whose sum is σ = 66067308720. Its totient is φ = 48956866560.

The previous prime is 57076631659. The next prime is 57076631723. The reversal of 57076631677 is 77613667075.

It can be written as a sum of positive squares in 8 ways, for example, as 2644942041 + 54431689636 = 51429^2 + 233306^2 .

It is not a de Polignac number, because 57076631677 - 2²⁷ = 56942413949 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57076631077) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 93110023 + ... + 93110635.

It is an arithmetic number, because the mean of its divisors is an integer number (1376402265).

Almost surely, 2^57076631677 is an apocalyptic number.

It is an amenable number.

57076631677 is a deficient number, since it is larger than the sum of its proper divisors (8990677043).

57076631677 is a wasteful number, since it uses less digits than its factorization.

57076631677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 974 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 7779240, while the sum is 55.

The spelling of 57076631677 in words is "fifty-seven billion, seventy-six million, six hundred thirty-one thousand, six hundred seventy-seven".