9600840792864 has 384 divisors, whose sum is σ = 29645572320000. Its totient is φ = 3018175340544.

The previous prime is 9600840792859. The next prime is 9600840792923. The reversal of 9600840792864 is 4682970480069.

9600840792864 is a `hidden beast` number, since 9 + 60 + 0 + 8 + 407 + 92 + 86 + 4 = 666.

It is a super-2 number, since 2×9600840792864² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 301432812 + ... + 301464660.

It is an arithmetic number, because the mean of its divisors is an integer number (77202011250).

Almost surely, 2^{9600840792864} 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 9600840792864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14822786160000).

9600840792864 is an abundant number, since it is smaller than the sum of its proper divisors (20044731527136).

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

9600840792864 is a wasteful number, since it uses less digits than its factorization.

9600840792864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32177 (or 32163 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 9600840792864 in words is "nine trillion, six hundred billion, eight hundred forty million, seven hundred ninety-two thousand, eight hundred sixty-four".