76613664127 has 64 divisors (see below), whose sum is σ = 107381127168. Its totient is φ = 52736832000.

The previous prime is 76613664067. The next prime is 76613664187. The reversal of 76613664127 is 72146631667.

It is an interprime number because it is at equal distance from previous prime (76613664067) and next prime (76613664187).

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-76613664127 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76613664187) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2242302 + ... + 2276212.

It is an arithmetic number, because the mean of its divisors is an integer number (1677830112).

Almost surely, 2^76613664127 is an apocalyptic number.

76613664127 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

76613664127 is a deficient number, since it is larger than the sum of its proper divisors (30767463041).

76613664127 is a wasteful number, since it uses less digits than its factorization.

76613664127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34040.

The product of its digits is 1524096, while the sum is 49.

The spelling of 76613664127 in words is "seventy-six billion, six hundred thirteen million, six hundred sixty-four thousand, one hundred twenty-seven".