96646376496384 has 2304 divisors, whose sum is σ = 364158150451200. Its totient is φ = 24857719603200.

The previous prime is 96646376496377. The next prime is 96646376496419. The reversal of 96646376496384 is 48369467364669.

96646376496384 is a `hidden beast` number, since 9 + 6 + 6 + 46 + 3 + 7 + 6 + 496 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

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 255 ways as a sum of consecutive naturals, for example, 74861638779 + ... + 74861640069.

It is an arithmetic number, because the mean of its divisors is an integer number (158054752800).

Almost surely, 2^{96646376496384} 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 96646376496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182079075225600).

96646376496384 is an abundant number, since it is smaller than the sum of its proper divisors (267511773954816).

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

96646376496384 is a wasteful number, since it uses less digits than its factorization.

96646376496384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1489 (or 1469 counting only the distinct ones).

The product of its digits is 20316635136, while the sum is 81.

The spelling of 96646376496384 in words is "ninety-six trillion, six hundred forty-six billion, three hundred seventy-six million, four hundred ninety-six thousand, three hundred eighty-four".