666824914800 has 720 divisors, whose sum is σ = 2679058886400. Its totient is φ = 151993036800.

The previous prime is 666824914757. The next prime is 666824914829. The reversal of 666824914800 is 8419428666.

It is a tau number, because it is divible by the number of its divisors (720).

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, 53730996 + ... + 53743404.

It is an arithmetic number, because the mean of its divisors is an integer number (3720915120).

Almost surely, 2^666824914800 is an apocalyptic number.

666824914800 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 666824914800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1339529443200).

666824914800 is an abundant number, since it is smaller than the sum of its proper divisors (2012233971600).

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

666824914800 is a wasteful number, since it uses less digits than its factorization.

666824914800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12526 (or 12512 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 666824914800 in words is "six hundred sixty-six billion, eight hundred twenty-four million, nine hundred fourteen thousand, eight hundred".