9840559680 has 336 divisors, whose sum is σ = 39155485824. Its totient is φ = 2221793280.

The previous prime is 9840559657. The next prime is 9840559699. The reversal of 9840559680 is 869550489.

It is a happy number.

9840559680 is a `hidden beast` number, since 9 + 8 + 4 + 0 + 559 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×9840559680² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1670340 + ... + 1676220.

It is an arithmetic number, because the mean of its divisors is an integer number (116534184).

Almost surely, 2^9840559680 is an apocalyptic number.

9840559680 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 9840559680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19577742912).

9840559680 is an abundant number, since it is smaller than the sum of its proper divisors (29314926144).

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

9840559680 is a wasteful number, since it uses less digits than its factorization.

9840559680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5994 (or 5981 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The square root of 9840559680 is about 99199.5951604642. The cubic root of 9840559680 is about 2142.9231662705.

The spelling of 9840559680 in words is "nine billion, eight hundred forty million, five hundred fifty-nine thousand, six hundred eighty".