9987133968 has 240 divisors, whose sum is σ = 33683010816. Its totient is φ = 2700656640.

The previous prime is 9987133957. The next prime is 9987133993. The reversal of 9987133968 is 8693317899.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2246628 + ... + 2251068.

Almost surely, 2^9987133968 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 9987133968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16841505408).

9987133968 is an abundant number, since it is smaller than the sum of its proper divisors (23695876848).

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

9987133968 is a wasteful number, since it uses less digits than its factorization.

9987133968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4582 (or 4573 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The square root of 9987133968 is about 99935.6491348308. The cubic root of 9987133968 is about 2153.5103259664.

The spelling of 9987133968 in words is "nine billion, nine hundred eighty-seven million, one hundred thirty-three thousand, nine hundred sixty-eight".