9827816960 has 320 divisors, whose sum is σ = 27841968000. Its totient is φ = 3292004352.

The previous prime is 9827816927. The next prime is 9827816963. The reversal of 9827816960 is 696187289.

It is a tau number, because it is divible by the number of its divisors (320).

It is a junction number, because it is equal to n+sod(n) for n = 9827816896 and 9827816905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9827816963) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 16406741 + ... + 16407339.

It is an arithmetic number, because the mean of its divisors is an integer number (87006150).

Almost surely, 2^9827816960 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 9827816960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13920984000).

9827816960 is an abundant number, since it is smaller than the sum of its proper divisors (18014151040).

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

9827816960 is a wasteful number, since it uses less digits than its factorization.

9827816960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 56.

The square root of 9827816960 is about 99135.3466731216. The cubic root of 9827816960 is about 2141.9977966473.

The spelling of 9827816960 in words is "nine billion, eight hundred twenty-seven million, eight hundred sixteen thousand, nine hundred sixty".