766874478667 has 16 divisors (see below), whose sum is σ = 887847361632. Its totient is φ = 654633861120.

The previous prime is 766874478649. The next prime is 766874478709.

766874478667 is nontrivially palindromic in base 10.

766874478667 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 766874478667 - 2¹¹ = 766874476619 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 766874478593 and 766874478602.

It is not an unprimeable number, because it can be changed into a prime (766874473667) 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, 4654518 + ... + 4816459.

It is an arithmetic number, because the mean of its divisors is an integer number (55490460102).

Almost surely, 2^766874478667 is an apocalyptic number.

766874478667 is a deficient number, since it is larger than the sum of its proper divisors (120972882965).

766874478667 is a wasteful number, since it uses less digits than its factorization.

766874478667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9471438.

The product of its digits is 3186376704, while the sum is 76.

The spelling of 766874478667 in words is "seven hundred sixty-six billion, eight hundred seventy-four million, four hundred seventy-eight thousand, six hundred sixty-seven".