716016456 has 128 divisors (see below), whose sum is σ = 2052086400. Its totient is φ = 231183360.

The previous prime is 716016451. The next prime is 716016493. The reversal of 716016456 is 654610617.

716016456 is a `hidden beast` number, since 7 + 1 + 6 + 0 + 1 + 645 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 716016456.

It is not an unprimeable number, because it can be changed into a prime (716016451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2063275 + ... + 2063621.

It is an arithmetic number, because the mean of its divisors is an integer number (16031925).

Almost surely, 2^716016456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 716016456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026043200).

716016456 is an abundant number, since it is smaller than the sum of its proper divisors (1336069944).

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

716016456 is a wasteful number, since it uses less digits than its factorization.

716016456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 716016456 is about 26758.4838135497. The cubic root of 716016456 is about 894.6249402763.

The spelling of 716016456 in words is "seven hundred sixteen million, sixteen thousand, four hundred fifty-six".