9987840000 has 720 divisors, whose sum is σ = 39273834600. Its totient is φ = 2506752000.

The previous prime is 9987839929. The next prime is 9987840001. The reversal of 9987840000 is 487899.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9987840001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 587519992 + ... + 587520008.

Almost surely, 2^9987840000 is an apocalyptic number.

9987840000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9987840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19636917300).

9987840000 is an abundant number, since it is smaller than the sum of its proper divisors (29285994600).

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

9987840000 is an equidigital number, since it uses as much as digits as its factorization.

9987840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 9987840000 is about 99939.1815055537. The cubic root of 9987840000 is about 2153.5610716351.

The spelling of 9987840000 in words is "nine billion, nine hundred eighty-seven million, eight hundred forty thousand".