76627033072667 has 12 divisors (see below), whose sum is σ = 97240984456536. Its totient is φ = 59709376419840.

The previous prime is 76627033072657. The next prime is 76627033072763.

76627033072667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 76627033072667 - 2¹⁶ = 76627033007131 is a prime.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (76627033072657) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71082590438 + ... + 71082591515.

It is an arithmetic number, because the mean of its divisors is an integer number (8103415371378).

Almost surely, 2^{76627033072667} is an apocalyptic number.

76627033072667 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

76627033072667 is a deficient number, since it is larger than the sum of its proper divisors (20613951383869).

76627033072667 is a wasteful number, since it uses less digits than its factorization.

76627033072667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142165181978 (or 142165181971 counting only the distinct ones).

The product of its (nonzero) digits is 112021056, while the sum is 62.

The spelling of 76627033072667 in words is "seventy-six trillion, six hundred twenty-seven billion, thirty-three million, seventy-two thousand, six hundred sixty-seven".