76320513688 has 64 divisors (see below), whose sum is σ = 145947432960. Its totient is φ = 37410971136.

The previous prime is 76320513653. The next prime is 76320513733. The reversal of 76320513688 is 88631502367.

It is a super-3 number, since 3×76320513688³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33664731 + ... + 33666997.

It is an arithmetic number, because the mean of its divisors is an integer number (2280428640).

Almost surely, 2^76320513688 is an apocalyptic number.

It is an amenable number.

76320513688 is a deficient number, since it is larger than the sum of its proper divisors (69626919272).

76320513688 is a wasteful number, since it uses less digits than its factorization.

76320513688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 76320513688 in words is "seventy-six billion, three hundred twenty million, five hundred thirteen thousand, six hundred eighty-eight".