57764687016960 has 1760 divisors, whose sum is σ = 258801512251392. Its totient is φ = 11969177518080.

The previous prime is 57764687016857. The next prime is 57764687017021. The reversal of 57764687016960 is 6961078646775.

It is a happy number.

57764687016960 is a `hidden beast` number, since 5 + 7 + 7 + 6 + 468 + 70 + 1 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 12230505159 + ... + 12230509881.

Almost surely, 2^{57764687016960} 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 57764687016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129400756125696).

57764687016960 is an abundant number, since it is smaller than the sum of its proper divisors (201036825234432).

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

57764687016960 is a wasteful number, since it uses less digits than its factorization.

57764687016960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5161 (or 5134 counting only the distinct ones).

The product of its (nonzero) digits is 640120320, while the sum is 72.

The spelling of 57764687016960 in words is "fifty-seven trillion, seven hundred sixty-four billion, six hundred eighty-seven million, sixteen thousand, nine hundred sixty".