718724160 has 504 divisors, whose sum is σ = 3143926656. Its totient is φ = 149022720.

The previous prime is 718724159. The next prime is 718724161. The reversal of 718724160 is 61427817.

It is an interprime number because it is at equal distance from previous prime (718724159) and next prime (718724161).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is not an unprimeable number, because it can be changed into a prime (718724161) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1552089 + ... + 1552551.

Almost surely, 2^718724160 is an apocalyptic number.

718724160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 718724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571963328).

718724160 is an abundant number, since it is smaller than the sum of its proper divisors (2425202496).

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

718724160 is a wasteful number, since it uses less digits than its factorization.

718724160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 491 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 718724160 is about 26809.0313140926. The cubic root of 718724160 is about 895.7512330216.

The spelling of 718724160 in words is "seven hundred eighteen million, seven hundred twenty-four thousand, one hundred sixty".