7666368636667 has 16 divisors (see below), whose sum is σ = 8367933635712. Its totient is φ = 6981287299200.

The previous prime is 7666368636587. The next prime is 7666368636749.

7666368636667 is nontrivially palindromic in base 10.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-7666368636667 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 7666368636593 and 7666368636602.

It is not an unprimeable number, because it can be changed into a prime (7666368636067) 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, 10175683 + ... + 10903084.

It is an arithmetic number, because the mean of its divisors is an integer number (522995852232).

Almost surely, 2^{7666368636667} is an apocalyptic number.

7666368636667 is a deficient number, since it is larger than the sum of its proper divisors (701564999045).

7666368636667 is a wasteful number, since it uses less digits than its factorization.

7666368636667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21079158.

The product of its digits is 5925685248, while the sum is 76.

The spelling of 7666368636667 in words is "seven trillion, six hundred sixty-six billion, three hundred sixty-eight million, six hundred thirty-six thousand, six hundred sixty-seven".