9846368000 has 288 divisors, whose sum is σ = 28353386880. Its totient is φ = 3337420800.

The previous prime is 9846367939. The next prime is 9846368003. The reversal of 9846368000 is 8636489.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9846368003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25311806 + ... + 25312194.

It is an arithmetic number, because the mean of its divisors is an integer number (98449260).

Almost surely, 2^9846368000 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 9846368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14176693440).

9846368000 is an abundant number, since it is smaller than the sum of its proper divisors (18507018880).

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

9846368000 is a wasteful number, since it uses less digits than its factorization.

9846368000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 44.

The square root of 9846368000 is about 99228.8667676901. The cubic root of 9846368000 is about 2143.3446983722.

The spelling of 9846368000 in words is "nine billion, eight hundred forty-six million, three hundred sixty-eight thousand".