716228640 has 216 divisors, whose sum is σ = 2511594540. Its totient is φ = 185859072.

The previous prime is 716228627. The next prime is 716228641. The reversal of 716228640 is 46822617.

716228640 is a `hidden beast` number, since 7 + 1 + 6 + 2 + 2 + 8 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 639280656 + 76947984 = 25284^2 + 8772^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 716228595 and 716228604.

It is not an unprimeable number, because it can be changed into a prime (716228641) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2662426 + ... + 2662694.

Almost surely, 2^716228640 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 716228640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255797270).

716228640 is an abundant number, since it is smaller than the sum of its proper divisors (1795365900).

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

716228640 is a wasteful number, since it uses less digits than its factorization.

716228640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 716228640 is about 26762.4483184928. The cubic root of 716228640 is about 894.7133024682.

The spelling of 716228640 in words is "seven hundred sixteen million, two hundred twenty-eight thousand, six hundred forty".