76644815104 has 189 divisors, whose sum is σ = 182230372821. Its totient is φ = 32158663680.

The previous prime is 76644815099. The next prime is 76644815153. The reversal of 76644815104 is 40151844667.

The square root of 76644815104 is 276848.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11337990400 + 65306824704 = 106480^2 + 255552^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 5895755002 + ... + 5895755014.

Almost surely, 2^76644815104 is an apocalyptic number.

76644815104 is the 276848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76644815104

76644815104 is an abundant number, since it is smaller than the sum of its proper divisors (105585557717).

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

76644815104 is an frugal number, since it uses more digits than its factorization.

76644815104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 46.

The spelling of 76644815104 in words is "seventy-six billion, six hundred forty-four million, eight hundred fifteen thousand, one hundred four".