57638570661 has 72 divisors (see below), whose sum is σ = 99935901312. Its totient is φ = 31349332800.

The previous prime is 57638570657. The next prime is 57638570729. The reversal of 57638570661 is 16607583675.

57638570661 is a `hidden beast` number, since 5 + 7 + 6 + 3 + 8 + 570 + 6 + 61 = 666.

It is not a de Polignac number, because 57638570661 - 2² = 57638570657 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 57638570598 and 57638570607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57638570641) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 3685320 + ... + 3700926.

Almost surely, 2^57638570661 is an apocalyptic number.

It is an amenable number.

57638570661 is a deficient number, since it is larger than the sum of its proper divisors (42297330651).

57638570661 is a wasteful number, since it uses less digits than its factorization.

57638570661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15743 (or 15709 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 57638570661 in words is "fifty-seven billion, six hundred thirty-eight million, five hundred seventy thousand, six hundred sixty-one".