76509506304 has 324 divisors, whose sum is σ = 279944257320. Its totient is φ = 19872276480.

The previous prime is 76509506303. The next prime is 76509506329. The reversal of 76509506304 is 40360590567.

76509506304 is a `hidden beast` number, since 7 + 6 + 5 + 0 + 9 + 5 + 0 + 630 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 76509506304.

It is not an unprimeable number, because it can be changed into a prime (76509506303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1211052 + ... + 1272660.

Almost surely, 2^76509506304 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 76509506304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139972128660).

76509506304 is an abundant number, since it is smaller than the sum of its proper divisors (203434751016).

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

76509506304 is a wasteful number, since it uses less digits than its factorization.

76509506304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61656 (or 61632 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 76509506304 in words is "seventy-six billion, five hundred nine million, five hundred six thousand, three hundred four".