57764617344 has 320 divisors, whose sum is σ = 199174208640. Its totient is φ = 16276598784.

The previous prime is 57764617333. The next prime is 57764617367. The reversal of 57764617344 is 44371646775.

It is a happy number.

57764617344 is a `hidden beast` number, since 5 + 7 + 76 + 461 + 73 + 44 = 666.

It is a super-2 number, since 2×57764617344² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5292597 + ... + 5303499.

It is an arithmetic number, because the mean of its divisors is an integer number (622419402).

Almost surely, 2^57764617344 is an apocalyptic number.

57764617344 is a gapful number since it is divisible by the number (54) 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 57764617344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99587104320).

57764617344 is an abundant number, since it is smaller than the sum of its proper divisors (141409591296).

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

57764617344 is a wasteful number, since it uses less digits than its factorization.

57764617344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11009 (or 10988 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 54.

The spelling of 57764617344 in words is "fifty-seven billion, seven hundred sixty-four million, six hundred seventeen thousand, three hundred forty-four".