9600873600384 has 192 divisors, whose sum is σ = 30149790914880. Its totient is φ = 2908324224000.

The previous prime is 9600873600371. The next prime is 9600873600401. The reversal of 9600873600384 is 4830063780069.

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 9600873600384.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 35994999 + ... + 36260745.

It is an arithmetic number, because the mean of its divisors is an integer number (157030161015).

Almost surely, 2^{9600873600384} 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 9600873600384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15074895457440).

9600873600384 is an abundant number, since it is smaller than the sum of its proper divisors (20548917314496).

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

9600873600384 is a wasteful number, since it uses less digits than its factorization.

9600873600384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268629 (or 268614 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 9600873600384 in words is "nine trillion, six hundred billion, eight hundred seventy-three million, six hundred thousand, three hundred eighty-four".