667745200617 has 216 divisors, whose sum is σ = 1097402054112. Its totient is φ = 360704171520.

The previous prime is 667745200601. The next prime is 667745200627. The reversal of 667745200617 is 716002547766.

It is a happy number.

It is not a de Polignac number, because 667745200617 - 2⁴ = 667745200601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 667745200617.

It is not an unprimeable number, because it can be changed into a prime (667745200627) 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 215 ways as a sum of consecutive naturals, for example, 8045122858 + ... + 8045122940.

Almost surely, 2^667745200617 is an apocalyptic number.

It is an amenable number.

667745200617 is a deficient number, since it is larger than the sum of its proper divisors (429656853495).

667745200617 is a wasteful number, since it uses less digits than its factorization.

667745200617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The spelling of 667745200617 in words is "six hundred sixty-seven billion, seven hundred forty-five million, two hundred thousand, six hundred seventeen".