5764565040 has 320 divisors, whose sum is σ = 20698675200. Its totient is φ = 1315049472.

The previous prime is 5764565039. The next prime is 5764565063. The reversal of 5764565040 is 405654675.

It is a junction number, because it is equal to n+sod(n) for n = 5764564983 and 5764565001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2785126 + ... + 2787194.

It is an arithmetic number, because the mean of its divisors is an integer number (64683360).

Almost surely, 2^5764565040 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 5764565040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10349337600).

5764565040 is an abundant number, since it is smaller than the sum of its proper divisors (14934110160).

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

5764565040 is a wasteful number, since it uses less digits than its factorization.

5764565040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2164 (or 2158 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The square root of 5764565040 is about 75924.7327291970. The cubic root of 5764565040 is about 1793.0353335708.

The spelling of 5764565040 in words is "five billion, seven hundred sixty-four million, five hundred sixty-five thousand, forty".