659935261440 has 1728 divisors, whose sum is σ = 3031519518720. Its totient is φ = 134608158720.

The previous prime is 659935261417. The next prime is 659935261451. The reversal of 659935261440 is 44162539956.

659935261440 is a `hidden beast` number, since 6 + 5 + 9 + 93 + 52 + 61 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 682455837 + ... + 682456803.

Almost surely, 2^659935261440 is an apocalyptic number.

659935261440 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 659935261440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515759759360).

659935261440 is an abundant number, since it is smaller than the sum of its proper divisors (2371584257280).

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

659935261440 is a wasteful number, since it uses less digits than its factorization.

659935261440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1055 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 659935261440 in words is "six hundred fifty-nine billion, nine hundred thirty-five million, two hundred sixty-one thousand, four hundred forty".