766269962667 has 24 divisors (see below), whose sum is σ = 1240089642480. Its totient is φ = 451854521280.

The previous prime is 766269962641. The next prime is 766269962671.

766269962667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 766269962667 - 2¹⁶ = 766269897131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 766269962595 and 766269962604.

It is not an unprimeable number, because it can be changed into a prime (766269962677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104592292 + ... + 104599617.

It is an arithmetic number, because the mean of its divisors is an integer number (51670401770).

Almost surely, 2^766269962667 is an apocalyptic number.

766269962667 is a deficient number, since it is larger than the sum of its proper divisors (473819679813).

766269962667 is a wasteful number, since it uses less digits than its factorization.

766269962667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209191963 (or 209191960 counting only the distinct ones).

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

The spelling of 766269962667 in words is "seven hundred sixty-six billion, two hundred sixty-nine million, nine hundred sixty-two thousand, six hundred sixty-seven".