76679166197667 has 32 divisors (see below), whose sum is σ = 111675257708544. Its totient is φ = 46413093636000.

The previous prime is 76679166197617. The next prime is 76679166197671.

76679166197667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76679166197667 - 2²⁰ = 76679165149091 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 76679166197667.

It is not an unprimeable number, because it can be changed into a prime (76679166197617) 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, 478904298 + ... + 479064384.

It is an arithmetic number, because the mean of its divisors is an integer number (3489851803392).

Almost surely, 2^{76679166197667} is an apocalyptic number.

76679166197667 is a deficient number, since it is larger than the sum of its proper divisors (34996091510877).

76679166197667 is a wasteful number, since it uses less digits than its factorization.

76679166197667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178479.

The product of its digits is 9073705536, while the sum is 84.

The spelling of 76679166197667 in words is "seventy-six trillion, six hundred seventy-nine billion, one hundred sixty-six million, one hundred ninety-seven thousand, six hundred sixty-seven".