7668372738667 has 12 divisors (see below), whose sum is σ = 8093668319616. Its totient is φ = 7264365761520.

The previous prime is 7668372738643. The next prime is 7668372738701.

It is a happy number.

7668372738667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7668372738667 - 2⁷ = 7668372738539 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7668372738593 and 7668372738602.

It is not an unprimeable number, because it can be changed into a prime (7668372738067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5931958 + ... + 7108084.

It is an arithmetic number, because the mean of its divisors is an integer number (674472359968).

Almost surely, 2^{7668372738667} is an apocalyptic number.

7668372738667 is a deficient number, since it is larger than the sum of its proper divisors (425295580949).

7668372738667 is a wasteful number, since it uses less digits than its factorization.

7668372738667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194226 (or 1194207 counting only the distinct ones).

The product of its digits is 3584673792, while the sum is 76.

The spelling of 7668372738667 in words is "seven trillion, six hundred sixty-eight billion, three hundred seventy-two million, seven hundred thirty-eight thousand, six hundred sixty-seven".