76736628406131 has 32 divisors (see below), whose sum is σ = 103019732243712. Its totient is φ = 50806308201600.

The previous prime is 76736628406127. The next prime is 76736628406171. The reversal of 76736628406131 is 13160482663767.

It is not a de Polignac number, because 76736628406131 - 2² = 76736628406127 is a prime.

It is a super-2 number, since 2×76736628406131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (76736628406111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3078935836 + ... + 3078960758.

It is an arithmetic number, because the mean of its divisors is an integer number (3219366632616).

Almost surely, 2^{76736628406131} is an apocalyptic number.

76736628406131 is a deficient number, since it is larger than the sum of its proper divisors (26283103837581).

76736628406131 is a wasteful number, since it uses less digits than its factorization.

76736628406131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31363.

The product of its (nonzero) digits is 36578304, while the sum is 60.

The spelling of 76736628406131 in words is "seventy-six trillion, seven hundred thirty-six billion, six hundred twenty-eight million, four hundred six thousand, one hundred thirty-one".