5765074560 has 320 divisors, whose sum is σ = 23530763520. Its totient is φ = 1317648384.

The previous prime is 5765074547. The next prime is 5765074571. The reversal of 5765074560 is 654705675.

5765074560 is a `hidden beast` number, since 576 + 5 + 0 + 74 + 5 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 354937 + ... + 370823.

It is an arithmetic number, because the mean of its divisors is an integer number (73533636).

Almost surely, 2^5765074560 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 5765074560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11765381760).

5765074560 is an abundant number, since it is smaller than the sum of its proper divisors (17765688960).

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

5765074560 is a wasteful number, since it uses less digits than its factorization.

5765074560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15925 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 5765074560 is about 75928.0880833964. The cubic root of 5765074560 is about 1793.0881597853.

The spelling of 5765074560 in words is "five billion, seven hundred sixty-five million, seventy-four thousand, five hundred sixty".