9720228393216 has 576 divisors, whose sum is σ = 34443198720000. Its totient is φ = 2669161144320.

The previous prime is 9720228393191. The next prime is 9720228393419. The reversal of 9720228393216 is 6123938220279.

9720228393216 is a `hidden beast` number, since 9 + 7 + 2 + 0 + 228 + 393 + 21 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×9720228393216² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33079710 + ... + 33372258.

It is an arithmetic number, because the mean of its divisors is an integer number (59797220000).

Almost surely, 2^{9720228393216} is an apocalyptic number.

9720228393216 is a gapful number since it is divisible by the number (96) 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 9720228393216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17221599360000).

9720228393216 is an abundant number, since it is smaller than the sum of its proper divisors (24722970326784).

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

9720228393216 is a wasteful number, since it uses less digits than its factorization.

9720228393216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292627 (or 292607 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 9720228393216 in words is "nine trillion, seven hundred twenty billion, two hundred twenty-eight million, three hundred ninety-three thousand, two hundred sixteen".