9729216000 has 960 divisors, whose sum is σ = 42488709120. Its totient is φ = 2090188800.

The previous prime is 9729215929. The next prime is 9729216001. The reversal of 9729216000 is 6129279.

9729216000 is a `hidden beast` number, since 9 + 7 + 29 + 21 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9729216001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 76607937 + ... + 76608063.

It is an arithmetic number, because the mean of its divisors is an integer number (44259072).

Almost surely, 2^9729216000 is an apocalyptic number.

9729216000 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 9729216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244354560).

9729216000 is an abundant number, since it is smaller than the sum of its proper divisors (32759493120).

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

9729216000 is a wasteful number, since it uses less digits than its factorization.

9729216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 9729216000 is about 98636.7882688807. The cubic root of 9729216000 is about 2134.8102619933.

The spelling of 9729216000 in words is "nine billion, seven hundred twenty-nine million, two hundred sixteen thousand".