768456654867 has 12 divisors (see below), whose sum is σ = 1210901395704. Its totient is φ = 465731305920.

The previous prime is 768456654821. The next prime is 768456654899.

768456654867 is a `hidden beast` number, since 7 + 6 + 8 + 4 + 566 + 54 + 8 + 6 + 7 = 666.

768456654867 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 768456654867 - 2¹¹ = 768456652819 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 768456654795 and 768456654804.

It is not an unprimeable number, because it can be changed into a prime (768456650867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3881094118 + ... + 3881094315.

It is an arithmetic number, because the mean of its divisors is an integer number (100908449642).

Almost surely, 2^768456654867 is an apocalyptic number.

768456654867 is a deficient number, since it is larger than the sum of its proper divisors (442444740837).

768456654867 is a wasteful number, since it uses less digits than its factorization.

768456654867 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7762188450 (or 7762188447 counting only the distinct ones).

The product of its digits is 1625702400, while the sum is 72.

The spelling of 768456654867 in words is "seven hundred sixty-eight billion, four hundred fifty-six million, six hundred fifty-four thousand, eight hundred sixty-seven".