669412800 has 504 divisors, whose sum is σ = 2825191200. Its totient is φ = 147087360.

The previous prime is 669412763. The next prime is 669412819. The reversal of 669412800 is 8214966.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×669412800² = 896226993607680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 2923086 + ... + 2923314.

Almost surely, 2^669412800 is an apocalyptic number.

669412800 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 669412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1412595600).

669412800 is an abundant number, since it is smaller than the sum of its proper divisors (2155778400).

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

669412800 is a wasteful number, since it uses less digits than its factorization.

669412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 669412800 is about 25873.0129671826. The cubic root of 669412800 is about 874.7783057400.

The spelling of 669412800 in words is "six hundred sixty-nine million, four hundred twelve thousand, eight hundred".