76722315264 has 336 divisors, whose sum is σ = 264460939200. Its totient is φ = 21917564928.

The previous prime is 76722315247. The next prime is 76722315281. The reversal of 76722315264 is 46251322767.

76722315264 is a `hidden beast` number, since 7 + 6 + 72 + 2 + 315 + 264 = 666.

It is an interprime number because it is at equal distance from previous prime (76722315247) and next prime (76722315281).

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10834477 + ... + 10841555.

Almost surely, 2^76722315264 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 76722315264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132230469600).

76722315264 is an abundant number, since it is smaller than the sum of its proper divisors (187738623936).

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

76722315264 is an equidigital number, since it uses as much as digits as its factorization.

76722315264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7128 (or 7091 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 76722315264 in words is "seventy-six billion, seven hundred twenty-two million, three hundred fifteen thousand, two hundred sixty-four".