9966720124800 has 2304 divisors, whose sum is σ = 41777801049600. Its totient is φ = 2307966566400.

The previous prime is 9966720124687. The next prime is 9966720125009. The reversal of 9966720124800 is 84210276699.

9966720124800 is a `hidden beast` number, since 9 + 96 + 6 + 72 + 0 + 1 + 2 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 32464886247 + ... + 32464886553.

It is an arithmetic number, because the mean of its divisors is an integer number (18132726150).

Almost surely, 2^{9966720124800} is an apocalyptic number.

9966720124800 is a gapful number since it is divisible by the number (90) 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 9966720124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20888900524800).

9966720124800 is an abundant number, since it is smaller than the sum of its proper divisors (31811080924800).

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

9966720124800 is a wasteful number, since it uses less digits than its factorization.

9966720124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 9966720124800 in words is "nine trillion, nine hundred sixty-six billion, seven hundred twenty million, one hundred twenty-four thousand, eight hundred".