5760175680 has 560 divisors, whose sum is σ = 23898758400. Its totient is φ = 1289613312.

The previous prime is 5760175661. The next prime is 5760175691. The reversal of 5760175680 is 865710675.

5760175680 is a `hidden beast` number, since 5 + 76 + 0 + 17 + 568 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9616021 + ... + 9616619.

Almost surely, 2^5760175680 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 5760175680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11949379200).

5760175680 is an abundant number, since it is smaller than the sum of its proper divisors (18138582720).

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

5760175680 is a wasteful number, since it uses less digits than its factorization.

5760175680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 5760175680 is about 75895.8212288397. The cubic root of 5760175680 is about 1792.5801228169.

The spelling of 5760175680 in words is "five billion, seven hundred sixty million, one hundred seventy-five thousand, six hundred eighty".