57692081664 has 240 divisors, whose sum is σ = 190749791232. Its totient is φ = 16443592704.

The previous prime is 57692081659. The next prime is 57692081719. The reversal of 57692081664 is 46618029675.

57692081664 is a `hidden beast` number, since 576 + 9 + 2 + 0 + 8 + 1 + 6 + 64 = 666.

57692081664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 57692081664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14932597 + ... + 14936459.

Almost surely, 2^57692081664 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 57692081664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95374895616).

57692081664 is an abundant number, since it is smaller than the sum of its proper divisors (133057709568).

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

57692081664 is a wasteful number, since it uses less digits than its factorization.

57692081664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4357 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 57692081664 in words is "fifty-seven billion, six hundred ninety-two million, eighty-one thousand, six hundred sixty-four".