668500560 has 640 divisors, whose sum is σ = 2999808000. Its totient is φ = 132876288.

The previous prime is 668500549. The next prime is 668500577. The reversal of 668500560 is 65005866.

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 127 ways as a sum of consecutive naturals, for example, 3734551 + ... + 3734729.

It is an arithmetic number, because the mean of its divisors is an integer number (4687200).

Almost surely, 2^668500560 is an apocalyptic number.

668500560 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 668500560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1499904000).

668500560 is an abundant number, since it is smaller than the sum of its proper divisors (2331307440).

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

668500560 is a wasteful number, since it uses less digits than its factorization.

668500560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 668500560 is about 25855.3777771666. The cubic root of 668500560 is about 874.3807580532.

The spelling of 668500560 in words is "six hundred sixty-eight million, five hundred thousand, five hundred sixty".