9987142032 has 480 divisors, whose sum is σ = 34763489280. Its totient is φ = 2615639040.

The previous prime is 9987142027. The next prime is 9987142049. The reversal of 9987142032 is 2302417899.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93337723 + ... + 93337829.

It is an arithmetic number, because the mean of its divisors is an integer number (72423936).

Almost surely, 2^9987142032 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 9987142032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17381744640).

9987142032 is an abundant number, since it is smaller than the sum of its proper divisors (24776347248).

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

9987142032 is a wasteful number, since it uses less digits than its factorization.

9987142032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 9987142032 is about 99935.6894807856. The cubic root of 9987142032 is about 2153.5109055756.

The spelling of 9987142032 in words is "nine billion, nine hundred eighty-seven million, one hundred forty-two thousand, thirty-two".