59964390720 has 630 divisors, whose sum is σ = 232021670322. Its totient is φ = 14760465408.

The previous prime is 59964390713. The next prime is 59964390721. The reversal of 59964390720 is 2709346995.

59964390720 is a `hidden beast` number, since 59 + 96 + 439 + 0 + 72 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 53816576256 + 6147814464 = 231984^2 + 78408^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (59964390721) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4612645434 + ... + 4612645446.

Almost surely, 2^59964390720 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 59964390720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116010835161).

59964390720 is an abundant number, since it is smaller than the sum of its proper divisors (172057279602).

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

59964390720 is an frugal number, since it uses more digits than its factorization.

59964390720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 59964390720 in words is "fifty-nine billion, nine hundred sixty-four million, three hundred ninety thousand, seven hundred twenty".