9836785900 has 72 divisors (see below), whose sum is σ = 21758607360. Its totient is φ = 3859141440.

The previous prime is 9836785873. The next prime is 9836785921. The reversal of 9836785900 is 95876389.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1598229 + ... + 1604371.

It is an arithmetic number, because the mean of its divisors is an integer number (302202880).

Almost surely, 2^9836785900 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 9836785900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10879303680).

9836785900 is an abundant number, since it is smaller than the sum of its proper divisors (11921821460).

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

9836785900 is a wasteful number, since it uses less digits than its factorization.

9836785900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6463 (or 6456 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 55.

The square root of 9836785900 is about 99180.5721903236. The cubic root of 9836785900 is about 2142.6491996525.

The spelling of 9836785900 in words is "nine billion, eight hundred thirty-six million, seven hundred eighty-five thousand, nine hundred".