7576532964 has 432 divisors, whose sum is σ = 26857958400. Its totient is φ = 1813518720.

The previous prime is 7576532947. The next prime is 7576533001. The reversal of 7576532964 is 4692356757.

7576532964 is a `hidden beast` number, since 7 + 576 + 5 + 3 + 2 + 9 + 64 = 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 7576532964.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12648337 + ... + 12648935.

It is an arithmetic number, because the mean of its divisors is an integer number (62171200).

Almost surely, 2^7576532964 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 7576532964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13428979200).

7576532964 is an abundant number, since it is smaller than the sum of its proper divisors (19281425436).

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

7576532964 is a wasteful number, since it uses less digits than its factorization.

7576532964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 635 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The square root of 7576532964 is about 87043.2821302138. The cubic root of 7576532964 is about 1964.0694434293.

The spelling of 7576532964 in words is "seven billion, five hundred seventy-six million, five hundred thirty-two thousand, nine hundred sixty-four".