766638836667 has 12 divisors (see below), whose sum is σ = 1208036954904. Its totient is φ = 464629597920.

The previous prime is 766638836549. The next prime is 766638836773.

766638836667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 766638836667 - 2¹⁰ = 766638835643 is a prime.

It is a super-2 number, since 2×766638836667² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 766638836595 and 766638836604.

It is not an unprimeable number, because it can be changed into a prime (766638837667) 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, 3871913218 + ... + 3871913415.

It is an arithmetic number, because the mean of its divisors is an integer number (100669746242).

Almost surely, 2^766638836667 is an apocalyptic number.

766638836667 is a deficient number, since it is larger than the sum of its proper divisors (441398118237).

766638836667 is a wasteful number, since it uses less digits than its factorization.

766638836667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7743826650 (or 7743826647 counting only the distinct ones).

The product of its digits is 1316818944, while the sum is 72.

The spelling of 766638836667 in words is "seven hundred sixty-six billion, six hundred thirty-eight million, eight hundred thirty-six thousand, six hundred sixty-seven".