669312800 has 144 divisors (see below), whose sum is σ = 1776136320. Its totient is φ = 244823040.

The previous prime is 669312793. The next prime is 669312803. The reversal of 669312800 is 8213966.

669312800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (669312803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445369 + ... + 1445831.

It is an arithmetic number, because the mean of its divisors is an integer number (12334280).

Almost surely, 2^669312800 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 669312800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888068160).

669312800 is an abundant number, since it is smaller than the sum of its proper divisors (1106823520).

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

669312800 is a wasteful number, since it uses less digits than its factorization.

669312800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 669312800 is about 25871.0803794507. The cubic root of 669312800 is about 874.7347440857.

The spelling of 669312800 in words is "six hundred sixty-nine million, three hundred twelve thousand, eight hundred".