9870768000 has 512 divisors, whose sum is σ = 36973123200. Its totient is φ = 2587852800.

The previous prime is 9870767993. The next prime is 9870768013. The reversal of 9870768000 is 8670789.

9870768000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 31535844 + ... + 31536156.

Almost surely, 2^9870768000 is an apocalyptic number.

9870768000 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 9870768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18486561600).

9870768000 is an abundant number, since it is smaller than the sum of its proper divisors (27102355200).

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

9870768000 is a wasteful number, since it uses less digits than its factorization.

9870768000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 9870768000 is about 99351.7387869986. The cubic root of 9870768000 is about 2145.1136914652.

The spelling of 9870768000 in words is "nine billion, eight hundred seventy million, seven hundred sixty-eight thousand".