96017805637632 has 576 divisors, whose sum is σ = 293338703024640. Its totient is φ = 31367294779392.

The previous prime is 96017805637603. The next prime is 96017805637703. The reversal of 96017805637632 is 23673650871069.

96017805637632 is a `hidden beast` number, since 9 + 6 + 0 + 1 + 7 + 8 + 0 + 563 + 7 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a self number, because there is not a number n which added to its sum of digits gives 96017805637632.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36056253133 + ... + 36056255795.

It is an arithmetic number, because the mean of its divisors is an integer number (509268581640).

Almost surely, 2^{96017805637632} 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 96017805637632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146669351512320).

96017805637632 is an abundant number, since it is smaller than the sum of its proper divisors (197320897387008).

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

96017805637632 is a wasteful number, since it uses less digits than its factorization.

96017805637632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4120 (or 4088 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 96017805637632 in words is "ninety-six trillion, seventeen billion, eight hundred five million, six hundred thirty-seven thousand, six hundred thirty-two".