5757696000 has 1152 divisors, whose sum is σ = 26217172800. Its totient is φ = 1238630400.

The previous prime is 5757695963. The next prime is 5757696029. The reversal of 5757696000 is 6967575.

It is a happy number.

5757696000 is a `hidden beast` number, since 575 + 76 + 9 + 6 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 95 ways as a sum of consecutive naturals, for example, 338687992 + ... + 338688008.

Almost surely, 2^5757696000 is an apocalyptic number.

5757696000 is a gapful number since it is divisible by the number (50) 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 5757696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13108586400).

5757696000 is an abundant number, since it is smaller than the sum of its proper divisors (20459476800).

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

5757696000 is a wasteful number, since it uses less digits than its factorization.

5757696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The square root of 5757696000 is about 75879.4833930754. The cubic root of 5757696000 is about 1792.3228584949.

The spelling of 5757696000 in words is "five billion, seven hundred fifty-seven million, six hundred ninety-six thousand".