9845709120 has 672 divisors, whose sum is σ = 39940992000. Its totient is φ = 2202992640.

The previous prime is 9845709067. The next prime is 9845709121. The reversal of 9845709120 is 219075489.

9845709120 is a `hidden beast` number, since 98 + 457 + 0 + 91 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9845709121) 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, 19730631 + ... + 19731129.

It is an arithmetic number, because the mean of its divisors is an integer number (59436000).

Almost surely, 2^9845709120 is an apocalyptic number.

9845709120 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 9845709120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19970496000).

9845709120 is an abundant number, since it is smaller than the sum of its proper divisors (30095282880).

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

9845709120 is a wasteful number, since it uses less digits than its factorization.

9845709120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 583 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 9845709120 is about 99225.5467105120. The cubic root of 9845709120 is about 2143.2968892560.

The spelling of 9845709120 in words is "nine billion, eight hundred forty-five million, seven hundred nine thousand, one hundred twenty".