7667992997667 has 12 divisors (see below), whose sum is σ = 11375340964000. Its totient is φ = 4973833295568.

The previous prime is 7667992997663. The next prime is 7667992997711.

7667992997667 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7667992997667 - 2² = 7667992997663 is a prime.

It is a super-2 number, since 2×7667992997667² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (7667992997663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11513502667 + ... + 11513503332.

Almost surely, 2^{7667992997667} is an apocalyptic number.

7667992997667 is a deficient number, since it is larger than the sum of its proper divisors (3707347966333).

7667992997667 is a wasteful number, since it uses less digits than its factorization.

7667992997667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23027006042 (or 23027006039 counting only the distinct ones).

The product of its digits is 40831674912, while the sum is 90.

The spelling of 7667992997667 in words is "seven trillion, six hundred sixty-seven billion, nine hundred ninety-two million, nine hundred ninety-seven thousand, six hundred sixty-seven".