76573439304768 has 1568 divisors, whose sum is σ = 279826984972800. Its totient is φ = 20284386508800.

The previous prime is 76573439304757. The next prime is 76573439304781. The reversal of 76573439304768 is 86740393437567.

76573439304768 is a `hidden beast` number, since 7 + 6 + 573 + 4 + 3 + 9 + 3 + 0 + 47 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 76573439304696 and 76573439304705.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 124915887630 + ... + 124915888242.

Almost surely, 2^{76573439304768} 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 76573439304768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139913492486400).

76573439304768 is an abundant number, since it is smaller than the sum of its proper divisors (203253545668032).

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

76573439304768 is a wasteful number, since it uses less digits than its factorization.

76573439304768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 967 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 1920360960, while the sum is 72.

The spelling of 76573439304768 in words is "seventy-six trillion, five hundred seventy-three billion, four hundred thirty-nine million, three hundred four thousand, seven hundred sixty-eight".