669580800 has 480 divisors, whose sum is σ = 2630403072. Its totient is φ = 146964480.

The previous prime is 669580789. The next prime is 669580817. The reversal of 669580800 is 8085966.

669580800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12633574 + ... + 12633626.

Almost surely, 2^669580800 is an apocalyptic number.

669580800 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 669580800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315201536).

669580800 is an abundant number, since it is smaller than the sum of its proper divisors (1960822272).

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

669580800 is a wasteful number, since it uses less digits than its factorization.

669580800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 669580800 is about 25876.2593896413. The cubic root of 669580800 is about 874.8514795538.

The spelling of 669580800 in words is "six hundred sixty-nine million, five hundred eighty thousand, eight hundred".