666828800 has 204 divisors, whose sum is σ = 1852819656. Its totient is φ = 235929600.

The previous prime is 666828787. The next prime is 666828839. The reversal of 666828800 is 8828666.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18022382 + ... + 18022418.

Almost surely, 2^666828800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666828800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926409828).

666828800 is an abundant number, since it is smaller than the sum of its proper divisors (1185990856).

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

666828800 is an equidigital number, since it uses as much as digits as its factorization.

666828800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 666828800 is about 25823.0284823450. The cubic root of 666828800 is about 873.6512772524.

The spelling of 666828800 in words is "six hundred sixty-six million, eight hundred twenty-eight thousand, eight hundred".