9870478800 has 720 divisors, whose sum is σ = 41531806080. Its totient is φ = 1955266560.

The previous prime is 9870478781. The next prime is 9870478829. The reversal of 9870478800 is 88740789.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24132996 + ... + 24133404.

It is an arithmetic number, because the mean of its divisors is an integer number (57683064).

Almost surely, 2^9870478800 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 9870478800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765903040).

9870478800 is an abundant number, since it is smaller than the sum of its proper divisors (31661327280).

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

9870478800 is a wasteful number, since it uses less digits than its factorization.

9870478800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The square root of 9870478800 is about 99350.2833413171. The cubic root of 9870478800 is about 2145.0927416283.

The spelling of 9870478800 in words is "nine billion, eight hundred seventy million, four hundred seventy-eight thousand, eight hundred".