9844689960 has 384 divisors, whose sum is σ = 37952928000. Its totient is φ = 2211632640.

The previous prime is 9844689929. The next prime is 9844689961. The reversal of 9844689960 is 699864489.

9844689960 is a `hidden beast` number, since 9 + 84 + 468 + 9 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (9844689961) 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, 7531627 + ... + 7532933.

It is an arithmetic number, because the mean of its divisors is an integer number (98835750).

Almost surely, 2^9844689960 is an apocalyptic number.

9844689960 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 9844689960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18976464000).

9844689960 is an abundant number, since it is smaller than the sum of its proper divisors (28108238040).

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

9844689960 is a wasteful number, since it uses less digits than its factorization.

9844689960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The square root of 9844689960 is about 99220.4110049943. The cubic root of 9844689960 is about 2143.2229335932. Note that the first 3 decimals are identical.

The spelling of 9844689960 in words is "nine billion, eight hundred forty-four million, six hundred eighty-nine thousand, nine hundred sixty".