666431082900 has 432 divisors, whose sum is σ = 2361263869440. Its totient is φ = 161124480000.

The previous prime is 666431082887. The next prime is 666431082917. The reversal of 666431082900 is 9280134666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 131004157 + ... + 131009243.

Almost surely, 2^666431082900 is an apocalyptic number.

666431082900 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 666431082900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180631934720).

666431082900 is an abundant number, since it is smaller than the sum of its proper divisors (1694832786540).

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

666431082900 is a wasteful number, since it uses less digits than its factorization.

666431082900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5533 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 666431082900 in words is "six hundred sixty-six billion, four hundred thirty-one million, eighty-two thousand, nine hundred".