716716617617 has 64 divisors (see below), whose sum is σ = 1022248550400. Its totient is φ = 483905767680.

The previous prime is 716716617607. The next prime is 716716617619.

716716617617 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 716716617617 - 2⁸ = 716716617361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (716716617619) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1900208 + ... + 2245934.

It is an arithmetic number, because the mean of its divisors is an integer number (15972633600).

Almost surely, 2^716716617617 is an apocalyptic number.

716716617617 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

716716617617 is a deficient number, since it is larger than the sum of its proper divisors (305531932783).

716716617617 is a wasteful number, since it uses less digits than its factorization.

716716617617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345886.

The product of its digits is 3111696, while the sum is 56.

The spelling of 716716617617 in words is "seven hundred sixteen billion, seven hundred sixteen million, six hundred seventeen thousand, six hundred seventeen".