669952800 has 324 divisors, whose sum is σ = 2600087490. Its totient is φ = 162201600.

The previous prime is 669952799. The next prime is 669952817. The reversal of 669952800 is 8259966.

It can be written as a sum of positive squares in 3 ways, for example, as 462938256 + 207014544 = 21516^2 + 14388^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 870816 + ... + 871584.

Almost surely, 2^669952800 is an apocalyptic number.

669952800 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 669952800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300043745).

669952800 is an abundant number, since it is smaller than the sum of its proper divisors (1930134690).

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

669952800 is a wasteful number, since it uses less digits than its factorization.

669952800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 669952800 is about 25883.4464474884. The cubic root of 669952800 is about 875.0134637384.

The spelling of 669952800 in words is "six hundred sixty-nine million, nine hundred fifty-two thousand, eight hundred".