9792224084160 has 1680 divisors, whose sum is σ = 42401655128448. Its totient is φ = 2136637440000.

The previous prime is 9792224084077. The next prime is 9792224084171. The reversal of 9792224084160 is 614804222979.

It is a happy number.

9792224084160 is a `hidden beast` number, since 9 + 7 + 9 + 222 + 408 + 4 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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

It is a junction number, because it is equal to n+sod(n) for n = 9792224084097 and 9792224084106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2447442160 + ... + 2447446160.

Almost surely, 2^{9792224084160} is an apocalyptic number.

9792224084160 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 9792224084160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21200827564224).

9792224084160 is an abundant number, since it is smaller than the sum of its proper divisors (32609431044288).

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

9792224084160 is a wasteful number, since it uses less digits than its factorization.

9792224084160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4132 (or 4106 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 9792224084160 in words is "nine trillion, seven hundred ninety-two billion, two hundred twenty-four million, eighty-four thousand, one hundred sixty".