5760564480 has 360 divisors, whose sum is σ = 22490655264. Its totient is φ = 1396224000.

The previous prime is 5760564479. The next prime is 5760564499. The reversal of 5760564480 is 844650675.

5760564480 is a `hidden beast` number, since 5 + 7 + 6 + 0 + 564 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

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, 1137955 + ... + 1143005.

Almost surely, 2^5760564480 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 5760564480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11245327632).

5760564480 is an abundant number, since it is smaller than the sum of its proper divisors (16730090784).

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

5760564480 is a wasteful number, since it uses less digits than its factorization.

5760564480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5095 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 5760564480 is about 75898.3825914624. The cubic root of 5760564480 is about 1792.6204537321.

The spelling of 5760564480 in words is "five billion, seven hundred sixty million, five hundred sixty-four thousand, four hundred eighty".