9936873595584 has 1792 divisors, whose sum is σ = 35414346240000. Its totient is φ = 2704584867840.

The previous prime is 9936873595549. The next prime is 9936873595661. The reversal of 9936873595584 is 4855953786399.

It is a happy number.

9936873595584 is a `hidden beast` number, since 9 + 9 + 3 + 6 + 8 + 7 + 3 + 59 + 558 + 4 = 666.

It is a super-2 number, since 2×9936873595584² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 66690426742 + ... + 66690426890.

It is an arithmetic number, because the mean of its divisors is an integer number (19762470000).

Almost surely, 2^{9936873595584} 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 9936873595584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17707173120000).

9936873595584 is an abundant number, since it is smaller than the sum of its proper divisors (25477472644416).

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

9936873595584 is a wasteful number, since it uses less digits than its factorization.

9936873595584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 367 counting only the distinct ones).

The product of its digits is 8817984000, while the sum is 81.

The spelling of 9936873595584 in words is "nine trillion, nine hundred thirty-six billion, eight hundred seventy-three million, five hundred ninety-five thousand, five hundred eighty-four".