96329370009600 has 5760 divisors, whose sum is σ = 466089903805680. Its totient is φ = 19477215313920.

The previous prime is 96329370009583. The next prime is 96329370009601. The reversal of 96329370009600 is 690007392369.

It is a happy number.

96329370009600 is a `hidden beast` number, since 9 + 6 + 3 + 29 + 3 + 7 + 0 + 0 + 0 + 9 + 600 = 666.

96329370009600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96329370009601) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 1817535283174 + ... + 1817535283226.

Almost surely, 2^{96329370009600} is an apocalyptic number.

96329370009600 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 96329370009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233044951902840).

96329370009600 is an abundant number, since it is smaller than the sum of its proper divisors (369760533796080).

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

96329370009600 is a wasteful number, since it uses less digits than its factorization.

96329370009600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 54.

The spelling of 96329370009600 in words is "ninety-six trillion, three hundred twenty-nine billion, three hundred seventy million, nine thousand, six hundred".