66745668 has 48 divisors (see below), whose sum is σ = 172456704. Its totient is φ = 19921440.

The previous prime is 66745667. The next prime is 66745681. The reversal of 66745668 is 86654766.

It is not an unprimeable number, because it can be changed into a prime (66745667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5071 + ... + 12617.

It is an arithmetic number, because the mean of its divisors is an integer number (3592848).

Almost surely, 2^66745668 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 66745668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86228352).

66745668 is an abundant number, since it is smaller than the sum of its proper divisors (105711036).

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

66745668 is a wasteful number, since it uses less digits than its factorization.

66745668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632 (or 7630 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The square root of 66745668 is about 8169.8022007880. The cubic root of 66745668 is about 405.6402371684.

The spelling of 66745668 in words is "sixty-six million, seven hundred forty-five thousand, six hundred sixty-eight".