9867646880 has 192 divisors, whose sum is σ = 29361201408. Its totient is φ = 3050127360.

The previous prime is 9867646849. The next prime is 9867646907. The reversal of 9867646880 is 886467689.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 618200 + ... + 633960.

It is an arithmetic number, because the mean of its divisors is an integer number (152922924).

Almost surely, 2^9867646880 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 9867646880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14680600704).

9867646880 is an abundant number, since it is smaller than the sum of its proper divisors (19493554528).

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

9867646880 is a wasteful number, since it uses less digits than its factorization.

9867646880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15839 (or 15831 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 62.

The square root of 9867646880 is about 99336.0301199922. The cubic root of 9867646880 is about 2144.8875738678.

The spelling of 9867646880 in words is "nine billion, eight hundred sixty-seven million, six hundred forty-six thousand, eight hundred eighty".