718918560 has 144 divisors (see below), whose sum is σ = 2461108104. Its totient is φ = 191102976.

The previous prime is 718918531. The next prime is 718918573. The reversal of 718918560 is 65819817.

718918560 is a `hidden beast` number, since 7 + 1 + 89 + 1 + 8 + 560 = 666.

718918560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 534719376 + 184199184 = 23124^2 + 13572^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 622944 + ... + 624096.

Almost surely, 2^718918560 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 718918560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230554052).

718918560 is an abundant number, since it is smaller than the sum of its proper divisors (1742189544).

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

718918560 is a wasteful number, since it uses less digits than its factorization.

718918560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The square root of 718918560 is about 26812.6567128287. The cubic root of 718918560 is about 895.8319864603.

The spelling of 718918560 in words is "seven hundred eighteen million, nine hundred eighteen thousand, five hundred sixty".