9989364000 has 768 divisors, whose sum is σ = 43023052800. Its totient is φ = 1963008000.

The previous prime is 9989363977. The next prime is 9989364001. The reversal of 9989364000 is 4639899.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (9989364001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17555716 + ... + 17556284.

It is an arithmetic number, because the mean of its divisors is an integer number (56019600).

Almost surely, 2^9989364000 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 9989364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511526400).

9989364000 is an abundant number, since it is smaller than the sum of its proper divisors (33033688800).

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

9989364000 is a wasteful number, since it uses less digits than its factorization.

9989364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 634 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The square root of 9989364000 is about 99946.8058519130. The cubic root of 9989364000 is about 2153.6706001604.

The spelling of 9989364000 in words is "nine billion, nine hundred eighty-nine million, three hundred sixty-four thousand".