9972748800 has 720 divisors, whose sum is σ = 41556715200. Its totient is φ = 2236907520.

The previous prime is 9972748783. The next prime is 9972748837. The reversal of 9972748800 is 88472799.

9972748800 is a `hidden beast` number, since 99 + 72 + 7 + 488 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66931126 + ... + 66931274.

It is an arithmetic number, because the mean of its divisors is an integer number (57717660).

Almost surely, 2^9972748800 is an apocalyptic number.

9972748800 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 9972748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20778357600).

9972748800 is an abundant number, since it is smaller than the sum of its proper divisors (31583966400).

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

9972748800 is a wasteful number, since it uses less digits than its factorization.

9972748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The square root of 9972748800 is about 99863.6510448121. The cubic root of 9972748800 is about 2152.4758786000.

The spelling of 9972748800 in words is "nine billion, nine hundred seventy-two million, seven hundred forty-eight thousand, eight hundred".