9794560000 has 140 divisors (see below), whose sum is σ = 24489865422. Its totient is φ = 3915776000.

The previous prime is 9794559997. The next prime is 9794560031. The reversal of 9794560000 is 654979.

It can be written as a sum of positive squares in 5 ways, for example, as 955551744 + 8839008256 = 30912^2 + 94016^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5119044 + ... + 5120956.

Almost surely, 2^9794560000 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 9794560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12244932711).

9794560000 is an abundant number, since it is smaller than the sum of its proper divisors (14695305422).

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

9794560000 is an frugal number, since it uses more digits than its factorization.

9794560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 9794560000 is about 98967.4694028295. The cubic root of 9794560000 is about 2139.5789196839.

The spelling of 9794560000 in words is "nine billion, seven hundred ninety-four million, five hundred sixty thousand".