720664560 has 480 divisors, whose sum is σ = 3155155200. Its totient is φ = 149506560.

The previous prime is 720664559. The next prime is 720664579. The reversal of 720664560 is 65466027.

720664560 is a `hidden beast` number, since 7 + 2 + 0 + 6 + 645 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1163931 + ... + 1164549.

It is an arithmetic number, because the mean of its divisors is an integer number (6573240).

Almost surely, 2^720664560 is an apocalyptic number.

720664560 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 720664560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577577600).

720664560 is an abundant number, since it is smaller than the sum of its proper divisors (2434490640).

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

720664560 is a wasteful number, since it uses less digits than its factorization.

720664560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 720664560 is about 26845.1962183181. The cubic root of 720664560 is about 896.5566202861.

The spelling of 720664560 in words is "seven hundred twenty million, six hundred sixty-four thousand, five hundred sixty".