7586668666857 has 96 divisors (see below), whose sum is σ = 12087902885760. Its totient is φ = 4218746649600.

The previous prime is 7586668666807. The next prime is 7586668666859.

It is a happy number.

7586668666857 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 7586668666857 - 2⁸ = 7586668666601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 7586668666857.

It is not an unprimeable number, because it can be changed into a prime (7586668666859) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 349589107 + ... + 349610807.

It is an arithmetic number, because the mean of its divisors is an integer number (125915655060).

Almost surely, 2^{7586668666857} is an apocalyptic number.

It is an amenable number.

7586668666857 is a deficient number, since it is larger than the sum of its proper divisors (4501234218903).

7586668666857 is a wasteful number, since it uses less digits than its factorization.

7586668666857 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22183 (or 22176 counting only the distinct ones).

The product of its digits is 29262643200, while the sum is 84.

The spelling of 7586668666857 in words is "seven trillion, five hundred eighty-six billion, six hundred sixty-eight million, six hundred sixty-six thousand, eight hundred fifty-seven".