96804768438336 has 896 divisors, whose sum is σ = 322271761530880. Its totient is φ = 25030094487552.

The previous prime is 96804768438307. The next prime is 96804768438341. The reversal of 96804768438336 is 63383486740869.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11639381250 + ... + 11639389566.

It is an arithmetic number, because the mean of its divisors is an integer number (359678305280).

Almost surely, 2^{96804768438336} is an apocalyptic number.

96804768438336 is a gapful number since it is divisible by the number (96) 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 96804768438336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161135880765440).

96804768438336 is an abundant number, since it is smaller than the sum of its proper divisors (225466993092544).

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

96804768438336 is a wasteful number, since it uses less digits than its factorization.

96804768438336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8619 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 75.

The spelling of 96804768438336 in words is "ninety-six trillion, eight hundred four billion, seven hundred sixty-eight million, four hundred thirty-eight thousand, three hundred thirty-six".