659643580440 has 512 divisors, whose sum is σ = 2453794560000. Its totient is φ = 156506757120.

The previous prime is 659643580357. The next prime is 659643580499. The reversal of 659643580440 is 44085346956.

659643580440 is a `hidden beast` number, since 6 + 5 + 96 + 4 + 35 + 80 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 341606275 + ... + 341608205.

It is an arithmetic number, because the mean of its divisors is an integer number (4792567500).

Almost surely, 2^659643580440 is an apocalyptic number.

659643580440 is a gapful number since it is divisible by the number (60) 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 659643580440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226897280000).

659643580440 is an abundant number, since it is smaller than the sum of its proper divisors (1794150979560).

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

659643580440 is a wasteful number, since it uses less digits than its factorization.

659643580440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 659643580440 in words is "six hundred fifty-nine billion, six hundred forty-three million, five hundred eighty thousand, four hundred forty".