57662468136 has 1024 divisors, whose sum is σ = 222566400000. Its totient is φ = 13680285696.

The previous prime is 57662468111. The next prime is 57662468137. The reversal of 57662468136 is 63186426675.

57662468136 is a `hidden beast` number, since 5 + 7 + 6 + 624 + 6 + 8 + 1 + 3 + 6 = 666.

57662468136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (57662468137) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 420893860 + ... + 420893996.

It is an arithmetic number, because the mean of its divisors is an integer number (217350000).

Almost surely, 2^57662468136 is an apocalyptic number.

57662468136 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57662468136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111283200000).

57662468136 is an abundant number, since it is smaller than the sum of its proper divisors (164903931864).

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

57662468136 is a wasteful number, since it uses less digits than its factorization.

57662468136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 204 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 57662468136 in words is "fifty-seven billion, six hundred sixty-two million, four hundred sixty-eight thousand, one hundred thirty-six".