8972499729600 has 2016 divisors, whose sum is σ = 37871516067840. Its totient is φ = 2069286912000.

The previous prime is 8972499729559. The next prime is 8972499729601. The reversal of 8972499729600 is 69279942798.

8972499729600 is a `hidden beast` number, since 8 + 9 + 7 + 2 + 4 + 9 + 9 + 7 + 2 + 9 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (8972499729601) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 9053985105 + ... + 9053986095.

It is an arithmetic number, because the mean of its divisors is an integer number (18785474240).

Almost surely, 2^{8972499729600} is an apocalyptic number.

8972499729600 is a gapful number since it is divisible by the number (80) 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 8972499729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18935758033920).

8972499729600 is an abundant number, since it is smaller than the sum of its proper divisors (28899016338240).

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

8972499729600 is a wasteful number, since it uses less digits than its factorization.

8972499729600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 246903552, while the sum is 72.

The spelling of 8972499729600 in words is "eight trillion, nine hundred seventy-two billion, four hundred ninety-nine million, seven hundred twenty-nine thousand, six hundred".