5764790304 has 768 divisors, whose sum is σ = 23166259200. Its totient is φ = 1349664768.

The previous prime is 5764790293. The next prime is 5764790309. The reversal of 5764790304 is 4030974675.

5764790304 is a `hidden beast` number, since 576 + 4 + 79 + 0 + 3 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5764790304.

It is not an unprimeable number, because it can be changed into a prime (5764790309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 25395439 + ... + 25395665.

It is an arithmetic number, because the mean of its divisors is an integer number (30164400).

Almost surely, 2^5764790304 is an apocalyptic number.

5764790304 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 5764790304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11583129600).

5764790304 is an abundant number, since it is smaller than the sum of its proper divisors (17401468896).

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

5764790304 is a wasteful number, since it uses less digits than its factorization.

5764790304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 5764790304 is about 75926.2161838716. The cubic root of 5764790304 is about 1793.0586889641.

The spelling of 5764790304 in words is "five billion, seven hundred sixty-four million, seven hundred ninety thousand, three hundred four".