9794400000 has 864 divisors, whose sum is σ = 41388350976. Its totient is φ = 1996800000.

The previous prime is 9794399987. The next prime is 9794400001. The reversal of 9794400000 is 44979.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9794400001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 184799974 + ... + 184800026.

It is an arithmetic number, because the mean of its divisors is an integer number (47903184).

Almost surely, 2^9794400000 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 9794400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20694175488).

9794400000 is an abundant number, since it is smaller than the sum of its proper divisors (31593950976).

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

9794400000 is an equidigital number, since it uses as much as digits as its factorization.

9794400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 9794400000 is about 98966.6610531041. The cubic root of 9794400000 is about 2139.5672691864.

Adding to 9794400000 its reverse (44979), we get a palindrome (9794444979).

The spelling of 9794400000 in words is "nine billion, seven hundred ninety-four million, four hundred thousand".