7668488848667 has 16 divisors (see below), whose sum is σ = 7928157422592. Its totient is φ = 7412658533280.

The previous prime is 7668488848609. The next prime is 7668488848673.

7668488848667 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 7668488848667 - 2²⁰ = 7668487800091 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7668488848687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3718673 + ... + 5400509.

It is an arithmetic number, because the mean of its divisors is an integer number (495509838912).

Almost surely, 2^{7668488848667} is an apocalyptic number.

7668488848667 is a deficient number, since it is larger than the sum of its proper divisors (259668573925).

7668488848667 is a wasteful number, since it uses less digits than its factorization.

7668488848667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682978.

The product of its digits is 33294385152, while the sum is 86.

The spelling of 7668488848667 in words is "seven trillion, six hundred sixty-eight billion, four hundred eighty-eight million, eight hundred forty-eight thousand, six hundred sixty-seven".