5757916320 has 768 divisors, whose sum is σ = 23745415680. Its totient is φ = 1289945088.

The previous prime is 5757916309. The next prime is 5757916361. The reversal of 5757916320 is 236197575.

5757916320 is a `hidden beast` number, since 5 + 7 + 5 + 7 + 9 + 1 + 632 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 35324559 + ... + 35324721.

It is an arithmetic number, because the mean of its divisors is an integer number (30918510).

Almost surely, 2^5757916320 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 5757916320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11872707840).

5757916320 is an abundant number, since it is smaller than the sum of its proper divisors (17987499360).

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

5757916320 is a wasteful number, since it uses less digits than its factorization.

5757916320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 240 counting only the distinct ones).

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

The square root of 5757916320 is about 75880.9351550177. The cubic root of 5757916320 is about 1792.3457194642.

The spelling of 5757916320 in words is "five billion, seven hundred fifty-seven million, nine hundred sixteen thousand, three hundred twenty".