669009600 has 252 divisors, whose sum is σ = 2717915824. Its totient is φ = 152893440.

The previous prime is 669009599. The next prime is 669009611. The reversal of 669009600 is 6900966.

It is a tau number, because it is divible by the number of its divisors (252).

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 97482 + ... + 104118.

Almost surely, 2^669009600 is an apocalyptic number.

669009600 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 669009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358957912).

669009600 is an abundant number, since it is smaller than the sum of its proper divisors (2048906224).

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

669009600 is a wasteful number, since it uses less digits than its factorization.

669009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6654 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 669009600 is about 25865.2198908109. The cubic root of 669009600 is about 874.6026386223.

The spelling of 669009600 in words is "six hundred sixty-nine million, nine thousand, six hundred".