666107568 has 180 divisors, whose sum is σ = 2202459480. Its totient is φ = 187342848.

The previous prime is 666107543. The next prime is 666107573. The reversal of 666107568 is 865701666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 472048 + ... + 473456.

It is an arithmetic number, because the mean of its divisors is an integer number (12235886).

Almost surely, 2^666107568 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 666107568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1101229740).

666107568 is an abundant number, since it is smaller than the sum of its proper divisors (1536351912).

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

666107568 is a wasteful number, since it uses less digits than its factorization.

666107568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 666107568 is about 25809.0598046500. The cubic root of 666107568 is about 873.3361875995.

The spelling of 666107568 in words is "six hundred sixty-six million, one hundred seven thousand, five hundred sixty-eight".