669052800 has 288 divisors, whose sum is σ = 2572413480. Its totient is φ = 164597760.

The previous prime is 669052777. The next prime is 669052829. The reversal of 669052800 is 8250966.

669052800 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 (288).

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 35 ways as a sum of consecutive naturals, for example, 373507 + ... + 375293.

Almost surely, 2^669052800 is an apocalyptic number.

669052800 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 669052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1286206740).

669052800 is an abundant number, since it is smaller than the sum of its proper divisors (1903360680).

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

669052800 is a wasteful number, since it uses less digits than its factorization.

669052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830 (or 1810 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 669052800 is about 25866.0549755853. The cubic root of 669052800 is about 874.6214634746.

The spelling of 669052800 in words is "six hundred sixty-nine million, fifty-two thousand, eight hundred".