7668638368667 has 4 divisors (see below), whose sum is σ = 7668644119560. Its totient is φ = 7668632617776.

The previous prime is 7668638368663. The next prime is 7668638368763.

7668638368667 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It is a cyclic number.

It is not a de Polignac number, because 7668638368667 - 2² = 7668638368663 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7668638368591 and 7668638368600.

It is not an unprimeable number, because it can be changed into a prime (7668638368663) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 276263 + ... + 3926015.

It is an arithmetic number, because the mean of its divisors is an integer number (1917161029890).

Almost surely, 2^{7668638368667} is an apocalyptic number.

7668638368667 is a deficient number, since it is larger than the sum of its proper divisors (5750893).

7668638368667 is a wasteful number, since it uses less digits than its factorization.

7668638368667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750892.

The product of its digits is 10534551552, while the sum is 80.

The spelling of 7668638368667 in words is "seven trillion, six hundred sixty-eight billion, six hundred thirty-eight million, three hundred sixty-eight thousand, six hundred sixty-seven".