9879643200 has 336 divisors, whose sum is σ = 37210634240. Its totient is φ = 2248058880.

The previous prime is 9879643159. The next prime is 9879643201. The reversal of 9879643200 is 23469789.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 9879643200.

It is not an unprimeable number, because it can be changed into a prime (9879643201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9508281 + ... + 9509319.

Almost surely, 2^9879643200 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 9879643200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18605317120).

9879643200 is an abundant number, since it is smaller than the sum of its proper divisors (27330991040).

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

9879643200 is a wasteful number, since it uses less digits than its factorization.

9879643200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1354 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 9879643200 is about 99396.3943007995. The cubic root of 9879643200 is about 2145.7564178754.

The spelling of 9879643200 in words is "nine billion, eight hundred seventy-nine million, six hundred forty-three thousand, two hundred".