716463364617 has 256 divisors, whose sum is σ = 1518057676800. Its totient is φ = 323314467840.

The previous prime is 716463364607. The next prime is 716463364621.

716463364617 is a `hidden beast` number, since 7 + 16 + 4 + 6 + 3 + 3 + 6 + 4 + 617 = 666.

716463364617 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 716463364617 - 2⁶ = 716463364553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (716463364607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 77643958 + ... + 77653184.

It is an arithmetic number, because the mean of its divisors is an integer number (5929912800).

Almost surely, 2^716463364617 is an apocalyptic number.

716463364617 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

716463364617 is an abundant number, since it is smaller than the sum of its proper divisors (801594312183).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

716463364617 is a wasteful number, since it uses less digits than its factorization.

716463364617 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9310 (or 9278 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 716463364617 in words is "seven hundred sixteen billion, four hundred sixty-three million, three hundred sixty-four thousand, six hundred seventeen".