9870336000 has 1120 divisors, whose sum is σ = 44531353152. Its totient is φ = 2123366400.

The previous prime is 9870335963. The next prime is 9870336041. The reversal of 9870336000 is 6330789.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 580607992 + ... + 580608008.

Almost surely, 2^9870336000 is an apocalyptic number.

9870336000 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 9870336000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22265676576).

9870336000 is an abundant number, since it is smaller than the sum of its proper divisors (34661017152).

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

9870336000 is an equidigital number, since it uses as much as digits as its factorization.

9870336000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 9870336000 is about 99349.5646694036. The cubic root of 9870336000 is about 2145.0823969522.

Adding to 9870336000 its reverse (6330789), we get a palindrome (9876666789).

The spelling of 9870336000 in words is "nine billion, eight hundred seventy million, three hundred thirty-six thousand".