5715372960 has 480 divisors, whose sum is σ = 22498705152. Its totient is φ = 1354475520.

The previous prime is 5715372959. The next prime is 5715372961. The reversal of 5715372960 is 692735175.

5715372960 is a `hidden beast` number, since 57 + 1 + 537 + 2 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5715372959) and next prime (5715372961).

It is a tau number, because it is divible by the number of its divisors (480).

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

It is not an unprimeable number, because it can be changed into a prime (5715372961) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6699894 + ... + 6700746.

Almost surely, 2^5715372960 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 5715372960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11249352576).

5715372960 is an abundant number, since it is smaller than the sum of its proper divisors (16783332192).

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

5715372960 is a wasteful number, since it uses less digits than its factorization.

5715372960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 921 counting only the distinct ones).

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

The square root of 5715372960 is about 75600.0857142371. The cubic root of 5715372960 is about 1787.9204504944.

The spelling of 5715372960 in words is "five billion, seven hundred fifteen million, three hundred seventy-two thousand, nine hundred sixty".