9968790000 has 200 divisors, whose sum is σ = 34657368592. Its totient is φ = 2453760000.

The previous prime is 9968789993. The next prime is 9968790071. The reversal of 9968790000 is 978699.

It is a happy number.

9968790000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 377220 + ... + 402780.

Almost surely, 2^9968790000 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 9968790000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17328684296).

9968790000 is an abundant number, since it is smaller than the sum of its proper divisors (24688578592).

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

9968790000 is a wasteful number, since it uses less digits than its factorization.

9968790000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25605 (or 25584 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 9968790000 is about 99843.8280516127. The cubic root of 9968790000 is about 2152.1910240274.

The spelling of 9968790000 in words is "nine billion, nine hundred sixty-eight million, seven hundred ninety thousand".