666532800 has 420 divisors, whose sum is σ = 2534325640. Its totient is φ = 171694080.

The previous prime is 666532751. The next prime is 666532807. The reversal of 666532800 is 8235666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666532807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4795131 + ... + 4795269.

Almost surely, 2^666532800 is an apocalyptic number.

666532800 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 666532800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267162820).

666532800 is an abundant number, since it is smaller than the sum of its proper divisors (1867792840).

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

666532800 is a wasteful number, since it uses less digits than its factorization.

666532800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 666532800 is about 25817.2965277157. The cubic root of 666532800 is about 873.5219891697.

The spelling of 666532800 in words is "six hundred sixty-six million, five hundred thirty-two thousand, eight hundred".