76947029376288 has 96 divisors (see below), whose sum is σ = 213910978861440. Its totient is φ = 24135334440960.

The previous prime is 76947029376263. The next prime is 76947029376293. The reversal of 76947029376288 is 88267392074967.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (78) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3235278 + ... + 12820338.

It is an arithmetic number, because the mean of its divisors is an integer number (2228239363140).

Almost surely, 2^{76947029376288} is an apocalyptic number.

It is an amenable number.

76947029376288 is an abundant number, since it is smaller than the sum of its proper divisors (136963949485152).

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

76947029376288 is a wasteful number, since it uses less digits than its factorization.

76947029376288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9590010 (or 9590002 counting only the distinct ones).

The product of its (nonzero) digits is 3072577536, while the sum is 78.

The spelling of 76947029376288 in words is "seventy-six trillion, nine hundred forty-seven billion, twenty-nine million, three hundred seventy-six thousand, two hundred eighty-eight".