766874343478667 has 16 divisors (see below), whose sum is σ = 774668061921600. Its totient is φ = 759084581606400.

The previous prime is 766874343478627. The next prime is 766874343478681.

766874343478667 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 766874343478667 - 2¹⁶ = 766874343413131 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (766874343478627) 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, 15237200759 + ... + 15237251087.

It is an arithmetic number, because the mean of its divisors is an integer number (48416753870100).

Almost surely, 2^{766874343478667} is an apocalyptic number.

766874343478667 is a deficient number, since it is larger than the sum of its proper divisors (7793718442933).

766874343478667 is a wasteful number, since it uses less digits than its factorization.

766874343478667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86566.

The product of its digits is 114709561344, while the sum is 86.

The spelling of 766874343478667 in words is "seven hundred sixty-six trillion, eight hundred seventy-four billion, three hundred forty-three million, four hundred seventy-eight thousand, six hundred sixty-seven".