766629926667 has 12 divisors (see below), whose sum is σ = 1208022914904. Its totient is φ = 464624197920.

The previous prime is 766629926651. The next prime is 766629926693.

766629926667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 766629926667 - 2⁴ = 766629926651 is a prime.

It is a super-2 number, since 2×766629926667² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 766629926595 and 766629926604.

It is not an unprimeable number, because it can be changed into a prime (766629926617) 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, 3871868218 + ... + 3871868415.

It is an arithmetic number, because the mean of its divisors is an integer number (100668576242).

Almost surely, 2^766629926667 is an apocalyptic number.

766629926667 is a deficient number, since it is larger than the sum of its proper divisors (441392988237).

766629926667 is a wasteful number, since it uses less digits than its factorization.

766629926667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7743736650 (or 7743736647 counting only the distinct ones).

The product of its digits is 740710656, while the sum is 72.

The spelling of 766629926667 in words is "seven hundred sixty-six billion, six hundred twenty-nine million, nine hundred twenty-six thousand, six hundred sixty-seven".