669734400 has 240 divisors, whose sum is σ = 2246802624. Its totient is φ = 175841280.

The previous prime is 669734393. The next prime is 669734423. The reversal of 669734400 is 4437966.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4108719 + ... + 4108881.

Almost surely, 2^669734400 is an apocalyptic number.

669734400 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 669734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1123401312).

669734400 is an abundant number, since it is smaller than the sum of its proper divisors (1577068224).

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

669734400 is a wasteful number, since it uses less digits than its factorization.

669734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 669734400 is about 25879.2271909344. The cubic root of 669734400 is about 874.9183706163.

The spelling of 669734400 in words is "six hundred sixty-nine million, seven hundred thirty-four thousand, four hundred".