5757756264 has 128 divisors (see below), whose sum is σ = 17402448000. Its totient is φ = 1753270272.

The previous prime is 5757756247. The next prime is 5757756293. The reversal of 5757756264 is 4626577575.

5757756264 is a `hidden beast` number, since 5 + 7 + 5 + 7 + 7 + 5 + 626 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5757756264.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 261807 + ... + 282945.

It is an arithmetic number, because the mean of its divisors is an integer number (135956625).

Almost surely, 2^5757756264 is an apocalyptic number.

5757756264 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 5757756264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8701224000).

5757756264 is an abundant number, since it is smaller than the sum of its proper divisors (11644691736).

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

5757756264 is a wasteful number, since it uses less digits than its factorization.

5757756264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21264 (or 21254 counting only the distinct ones).

The product of its digits is 12348000, while the sum is 54.

The square root of 5757756264 is about 75879.8804954251. The cubic root of 5757756264 is about 1792.3291117003.

Subtracting from 5757756264 its reverse (4626577575), we obtain a square (1131178689 = 33633²).

The spelling of 5757756264 in words is "five billion, seven hundred fifty-seven million, seven hundred fifty-six thousand, two hundred sixty-four".