766638837667 has 2 divisors, whose sum is σ = 766638837668. Its totient is φ = 766638837666.

The previous prime is 766638837661. The next prime is 766638837673. The reversal of 766638837667 is 766738836667.

It is a balanced prime because it is at equal distance from previous prime (766638837661) and next prime (766638837673).

It is an emirp because it is prime and its reverse (766738836667) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 766638837667 - 2⁷ = 766638837539 is a prime.

It is a super-3 number, since 3×766638837667³ (a number of 37 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 766638837667.

It is not a weakly prime, because it can be changed into another prime (766638837661) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 383319418833 + 383319418834.

It is an arithmetic number, because the mean of its divisors is an integer number (383319418834).

Almost surely, 2^766638837667 is an apocalyptic number.

766638837667 is a deficient number, since it is larger than the sum of its proper divisors (1).

766638837667 is an equidigital number, since it uses as much as digits as its factorization.

766638837667 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1536288768, while the sum is 73.

The spelling of 766638837667 in words is "seven hundred sixty-six billion, six hundred thirty-eight million, eight hundred thirty-seven thousand, six hundred sixty-seven".