76679297667 has 48 divisors (see below), whose sum is σ = 130002312960. Its totient is φ = 42647400000.

The previous prime is 76679297647. The next prime is 76679297731.

76679297667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76679297667 - 2⁶ = 76679297603 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 76679297595 and 76679297604.

It is not an unprimeable number, because it can be changed into a prime (76679297647) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 273292 + ... + 477542.

It is an arithmetic number, because the mean of its divisors is an integer number (2708381520).

Almost surely, 2^76679297667 is an apocalyptic number.

76679297667 is a deficient number, since it is larger than the sum of its proper divisors (53323015293).

76679297667 is a wasteful number, since it uses less digits than its factorization.

76679297667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204424 (or 204421 counting only the distinct ones).

The product of its digits is 504094752, while the sum is 72.

The spelling of 76679297667 in words is "seventy-six billion, six hundred seventy-nine million, two hundred ninety-seven thousand, six hundred sixty-seven".