766749947667 has 48 divisors (see below), whose sum is σ = 1134210040320. Its totient is φ = 460377846720.

The previous prime is 766749947651. The next prime is 766749947687.

766749947667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 766749947667 - 2⁴ = 766749947651 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 766749947592 and 766749947601.

It is not an unprimeable number, because it can be changed into a prime (766749947687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18736134 + ... + 18777012.

It is an arithmetic number, because the mean of its divisors is an integer number (23629375840).

Almost surely, 2^766749947667 is an apocalyptic number.

766749947667 is a deficient number, since it is larger than the sum of its proper divisors (367460092653).

766749947667 is a wasteful number, since it uses less digits than its factorization.

766749947667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41384 (or 41373 counting only the distinct ones).

The product of its digits is 4032758016, while the sum is 78.

The spelling of 766749947667 in words is "seven hundred sixty-six billion, seven hundred forty-nine million, nine hundred forty-seven thousand, six hundred sixty-seven".