9878368000 has 144 divisors (see below), whose sum is σ = 24748948224. Its totient is φ = 3928780800.

The previous prime is 9878367979. The next prime is 9878368037. The reversal of 9878368000 is 8638789.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6303217 + ... + 6304783.

It is an arithmetic number, because the mean of its divisors is an integer number (171867696).

Almost surely, 2^9878368000 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 9878368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12374474112).

9878368000 is an abundant number, since it is smaller than the sum of its proper divisors (14870580224).

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

9878368000 is a wasteful number, since it uses less digits than its factorization.

9878368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1795 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 49.

The square root of 9878368000 is about 99389.9793741804. The cubic root of 9878368000 is about 2145.6640938153.

The spelling of 9878368000 in words is "nine billion, eight hundred seventy-eight million, three hundred sixty-eight thousand".