9938432359680 has 576 divisors, whose sum is σ = 35199524505600. Its totient is φ = 2369758003200.

The previous prime is 9938432359679. The next prime is 9938432359753. The reversal of 9938432359680 is 869532348399.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 648249615 + ... + 648264945.

It is an arithmetic number, because the mean of its divisors is an integer number (61110285600).

Almost surely, 2^{9938432359680} 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 9938432359680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17599762252800).

9938432359680 is an abundant number, since it is smaller than the sum of its proper divisors (25261092145920).

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

9938432359680 is a wasteful number, since it uses less digits than its factorization.

9938432359680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15618 (or 15604 counting only the distinct ones).

The product of its (nonzero) digits is 302330880, while the sum is 69.

The spelling of 9938432359680 in words is "nine trillion, nine hundred thirty-eight billion, four hundred thirty-two million, three hundred fifty-nine thousand, six hundred eighty".