766248842667 has 48 divisors (see below), whose sum is σ = 1296783430272. Its totient is φ = 397967431680.

The previous prime is 766248842651. The next prime is 766248842669.

766248842667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 766248842667 - 2⁴ = 766248842651 is a prime.

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 766248842598 and 766248842607.

It is not an unprimeable number, because it can be changed into a prime (766248842669) 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, 8026228 + ... + 8121134.

It is an arithmetic number, because the mean of its divisors is an integer number (27016321464).

Almost surely, 2^766248842667 is an apocalyptic number.

766248842667 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

766248842667 is a deficient number, since it is larger than the sum of its proper divisors (530534587605).

766248842667 is a wasteful number, since it uses less digits than its factorization.

766248842667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99928 (or 99921 counting only the distinct ones).

The product of its digits is 260112384, while the sum is 66.

The spelling of 766248842667 in words is "seven hundred sixty-six billion, two hundred forty-eight million, eight hundred forty-two thousand, six hundred sixty-seven".