9973668724800 has 1344 divisors, whose sum is σ = 38326146969600. Its totient is φ = 2247598080000.

The previous prime is 9973668724763. The next prime is 9973668724819. The reversal of 9973668724800 is 84278663799.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4959555795 + ... + 4959557805.

It is an arithmetic number, because the mean of its divisors is an integer number (28516478400).

Almost surely, 2^{9973668724800} 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 9973668724800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19163073484800).

9973668724800 is an abundant number, since it is smaller than the sum of its proper divisors (28352478244800).

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

9973668724800 is a wasteful number, since it uses less digits than its factorization.

9973668724800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 69.

The spelling of 9973668724800 in words is "nine trillion, nine hundred seventy-three billion, six hundred sixty-eight million, seven hundred twenty-four thousand, eight hundred".