667636026721713 has 72 divisors (see below), whose sum is σ = 1125589555545000. Its totient is φ = 380222110388736.

The previous prime is 667636026721693. The next prime is 667636026721717. The reversal of 667636026721713 is 317127620636766.

667636026721713 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 3 + 602 + 6 + 7 + 2 + 1 + 7 + 13 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 320731134825024 + 346904891896689 = 17908968^2 + 18625383^2 .

It is not a de Polignac number, because 667636026721713 - 2⁸ = 667636026721457 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (667636026721717) 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 71 ways as a sum of consecutive naturals, for example, 305652363 + ... + 307828911.

Almost surely, 2^{667636026721713} is an apocalyptic number.

667636026721713 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

667636026721713 is a deficient number, since it is larger than the sum of its proper divisors (457953528823287).

667636026721713 is a wasteful number, since it uses less digits than its factorization.

667636026721713 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178911 (or 2178901 counting only the distinct ones).

The product of its (nonzero) digits is 96018048, while the sum is 63.

The spelling of 667636026721713 in words is "six hundred sixty-seven trillion, six hundred thirty-six billion, twenty-six million, seven hundred twenty-one thousand, seven hundred thirteen".