9845280000 has 720 divisors, whose sum is σ = 37929608640. Its totient is φ = 2515968000.

The previous prime is 9845279999. The next prime is 9845280007. The reversal of 9845280000 is 825489.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×9845280000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9845280007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 185759974 + ... + 185760026.

It is an arithmetic number, because the mean of its divisors is an integer number (52680012).

Almost surely, 2^9845280000 is an apocalyptic number.

9845280000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9845280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18964804320).

9845280000 is an abundant number, since it is smaller than the sum of its proper divisors (28084328640).

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

9845280000 is an equidigital number, since it uses as much as digits as its factorization.

9845280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 9845280000 is about 99223.3843405878. The cubic root of 9845280000 is about 2143.2657506517.

The spelling of 9845280000 in words is "nine billion, eight hundred forty-five million, two hundred eighty thousand".