9768668679 has 72 divisors (see below), whose sum is σ = 17763441696. Its totient is φ = 5063731200.

The previous prime is 9768668671. The next prime is 9768668681.

9768668679 is nontrivially palindromic in base 10.

9768668679 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 9768668679 - 2³ = 9768668671 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9768668671) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4519359 + ... + 4521519.

It is an arithmetic number, because the mean of its divisors is an integer number (246714468).

Almost surely, 2^9768668679 is an apocalyptic number.

9768668679 is a gapful number since it is divisible by the number (99) formed by its first and last digit.

9768668679 is a deficient number, since it is larger than the sum of its proper divisors (7994773017).

9768668679 is a wasteful number, since it uses less digits than its factorization.

9768668679 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2775 counting only the distinct ones).

The product of its digits is 329204736, while the sum is 72.

The square root of 9768668679 is about 98836.5756134843. The cubic root of 9768668679 is about 2137.6919739757.

The spelling of 9768668679 in words is "nine billion, seven hundred sixty-eight million, six hundred sixty-eight thousand, six hundred seventy-nine".