76686633668667 has 16 divisors (see below), whose sum is σ = 112282897708800. Its totient is φ = 46168954644000.

The previous prime is 76686633668647. The next prime is 76686633668669.

76686633668667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76686633668667 - 2⁷ = 76686633668539 is a prime.

It is a super-2 number, since 2×76686633668667² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 76686633668667.

It is not an unprimeable number, because it can be changed into a prime (76686633668669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7694820792 + ... + 7694830757.

It is an arithmetic number, because the mean of its divisors is an integer number (7017681106800).

Almost surely, 2^{76686633668667} is an apocalyptic number.

76686633668667 is a deficient number, since it is larger than the sum of its proper divisors (35596264040133).

76686633668667 is a wasteful number, since it uses less digits than its factorization.

76686633668667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15389651714.

The product of its digits is 47405481984, while the sum is 84.

The spelling of 76686633668667 in words is "seventy-six trillion, six hundred eighty-six billion, six hundred thirty-three million, six hundred sixty-eight thousand, six hundred sixty-seven".