5757964992 has 336 divisors, whose sum is σ = 18861024000. Its totient is φ = 1666013184.

The previous prime is 5757964967. The next prime is 5757965021. The reversal of 5757964992 is 2994697575.

5757964992 is a `hidden beast` number, since 5 + 7 + 57 + 96 + 499 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11538759 + ... + 11539257.

It is an arithmetic number, because the mean of its divisors is an integer number (56134000).

Almost surely, 2^5757964992 is an apocalyptic number.

5757964992 is a gapful number since it is divisible by the number (52) 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 5757964992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9430512000).

5757964992 is an abundant number, since it is smaller than the sum of its proper divisors (13103059008).

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

5757964992 is a wasteful number, since it uses less digits than its factorization.

5757964992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 607 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The square root of 5757964992 is about 75881.2558673089. The cubic root of 5757964992 is about 1792.3507697174.

The spelling of 5757964992 in words is "five billion, seven hundred fifty-seven million, nine hundred sixty-four thousand, nine hundred ninety-two".