9987996672 has 264 divisors, whose sum is σ = 31380116976. Its totient is φ = 3047030784.

The previous prime is 9987996653. The next prime is 9987996679. The reversal of 9987996672 is 2766997899.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 9987996672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9987996679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5796003 + ... + 5797725.

Almost surely, 2^9987996672 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 9987996672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15690058488).

9987996672 is an abundant number, since it is smaller than the sum of its proper divisors (21392120304).

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

9987996672 is a wasteful number, since it uses less digits than its factorization.

9987996672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1782 counting only the distinct ones).

The product of its digits is 185177664, while the sum is 72.

The square root of 9987996672 is about 99939.9653391975. The cubic root of 9987996672 is about 2153.5723320263.

The spelling of 9987996672 in words is "nine billion, nine hundred eighty-seven million, nine hundred ninety-six thousand, six hundred seventy-two".