664673740800 has 288 divisors, whose sum is σ = 2201246611200. Its totient is φ = 176929505280.

The previous prime is 664673740799. The next prime is 664673740811. The reversal of 664673740800 is 8047376466.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93231636 + ... + 93238764.

It is an arithmetic number, because the mean of its divisors is an integer number (7643217400).

Almost surely, 2^664673740800 is an apocalyptic number.

664673740800 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 664673740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1100623305600).

664673740800 is an abundant number, since it is smaller than the sum of its proper divisors (1536572870400).

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

664673740800 is a wasteful number, since it uses less digits than its factorization.

664673740800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7771 (or 7746 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 664673740800 in words is "six hundred sixty-four billion, six hundred seventy-three million, seven hundred forty thousand, eight hundred".