76713584640 has 1152 divisors, whose sum is σ = 321866213760. Its totient is φ = 15414067200.

The previous prime is 76713584537. The next prime is 76713584641. The reversal of 76713584640 is 4648531767.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (76713584641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 678881224 + ... + 678881336.

It is an arithmetic number, because the mean of its divisors is an integer number (279397755).

Almost surely, 2^76713584640 is an apocalyptic number.

76713584640 is a gapful number since it is divisible by the number (70) 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 76713584640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160933106880).

76713584640 is an abundant number, since it is smaller than the sum of its proper divisors (245152629120).

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

76713584640 is a wasteful number, since it uses less digits than its factorization.

76713584640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 51.

The spelling of 76713584640 in words is "seventy-six billion, seven hundred thirteen million, five hundred eighty-four thousand, six hundred forty".