9620972105184 has 768 divisors, whose sum is σ = 32961929011200. Its totient is φ = 2700747878400.

The previous prime is 9620972105167. The next prime is 9620972105189. The reversal of 9620972105184 is 4815012790269.

It is a happy number.

9620972105184 is a `hidden beast` number, since 9 + 6 + 20 + 97 + 2 + 10 + 518 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 9620972105184.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9620972105189) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1245751947 + ... + 1245759669.

It is an arithmetic number, because the mean of its divisors is an integer number (42919178400).

Almost surely, 2^{9620972105184} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9620972105184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16480964505600).

9620972105184 is an abundant number, since it is smaller than the sum of its proper divisors (23340956906016).

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

9620972105184 is a wasteful number, since it uses less digits than its factorization.

9620972105184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7956 (or 7942 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 9620972105184 in words is "nine trillion, six hundred twenty billion, nine hundred seventy-two million, one hundred five thousand, one hundred eighty-four".