76367314752 has 112 divisors (see below), whose sum is σ = 206930792640. Its totient is φ = 24842539008.

The previous prime is 76367314739. The next prime is 76367314763. The reversal of 76367314752 is 25741376367.

It is a junction number, because it is equal to n+sod(n) for n = 76367314695 and 76367314704.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11794588 + ... + 11801060.

Almost surely, 2^76367314752 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 76367314752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103465396320).

76367314752 is an abundant number, since it is smaller than the sum of its proper divisors (130563477888).

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

76367314752 is a wasteful number, since it uses less digits than its factorization.

76367314752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7960 (or 7950 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 51.

The spelling of 76367314752 in words is "seventy-six billion, three hundred sixty-seven million, three hundred fourteen thousand, seven hundred fifty-two".