766267762667 has 12 divisors (see below), whose sum is σ = 844179908880. Its totient is φ = 695020204560.

The previous prime is 766267762627. The next prime is 766267762699.

766267762667 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-766267762667 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 766267762597 and 766267762606.

It is not an unprimeable number, because it can be changed into a prime (766267762627) 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, 7159628 + ... + 7265865.

It is an arithmetic number, because the mean of its divisors is an integer number (70348325740).

Almost surely, 2^766267762667 is an apocalyptic number.

766267762667 is a deficient number, since it is larger than the sum of its proper divisors (77912146213).

766267762667 is a wasteful number, since it uses less digits than its factorization.

766267762667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14425954 (or 14425943 counting only the distinct ones).

The product of its digits is 448084224, while the sum is 68.

The spelling of 766267762667 in words is "seven hundred sixty-six billion, two hundred sixty-seven million, seven hundred sixty-two thousand, six hundred sixty-seven".