718735680 has 448 divisors, whose sum is σ = 2799283200. Its totient is φ = 174680064.

The previous prime is 718735679. The next prime is 718735691. The reversal of 718735680 is 86537817.

718735680 is a `hidden beast` number, since 7 + 1 + 87 + 3 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9097881 + ... + 9097959.

It is an arithmetic number, because the mean of its divisors is an integer number (6248400).

Almost surely, 2^718735680 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 718735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399641600).

718735680 is an abundant number, since it is smaller than the sum of its proper divisors (2080547520).

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

718735680 is an equidigital number, since it uses as much as digits as its factorization.

718735680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 718735680 is about 26809.2461662017. The cubic root of 718735680 is about 895.7560188164.

The spelling of 718735680 in words is "seven hundred eighteen million, seven hundred thirty-five thousand, six hundred eighty".