668626560 has 576 divisors, whose sum is σ = 2829790080. Its totient is φ = 144764928.

The previous prime is 668626547. The next prime is 668626573. The reversal of 668626560 is 65626866.

668626560 is a `hidden beast` number, since 6 + 6 + 86 + 2 + 6 + 560 = 666.

668626560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (668626547) and next prime (668626573).

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×668626560² = 894122953474867200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6491469 + ... + 6491571.

It is an arithmetic number, because the mean of its divisors is an integer number (4912830).

Almost surely, 2^668626560 is an apocalyptic number.

668626560 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 668626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414895040).

668626560 is an abundant number, since it is smaller than the sum of its proper divisors (2161163520).

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

668626560 is a wasteful number, since it uses less digits than its factorization.

668626560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 668626560 is about 25857.8142927820. The cubic root of 668626560 is about 874.4356894729.

The spelling of 668626560 in words is "six hundred sixty-eight million, six hundred twenty-six thousand, five hundred sixty".