6768668676 has 48 divisors (see below), whose sum is σ = 19690675200. Its totient is φ = 1758095520.

The previous prime is 6768668659. The next prime is 6768668719.

6768668676 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3661776 + ... + 3663623.

It is an arithmetic number, because the mean of its divisors is an integer number (410222400).

Almost surely, 2^6768668676 is an apocalyptic number.

6768668676 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6768668676 is an abundant number, since it is smaller than the sum of its proper divisors (12922006524).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6768668676 is a wasteful number, since it uses less digits than its factorization.

6768668676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7325424 (or 7325422 counting only the distinct ones).

The product of its digits is 146313216, while the sum is 66.

The square root of 6768668676 is about 82271.9191218972. The cubic root of 6768668676 is about 1891.6222716443.

The spelling of 6768668676 in words is "six billion, seven hundred sixty-eight million, six hundred sixty-eight thousand, six hundred seventy-six".