9865884672 has 352 divisors, whose sum is σ = 35162547200. Its totient is φ = 2669469696.

The previous prime is 9865884671. The next prime is 9865884683. The reversal of 9865884672 is 2764885689.

9865884672 is a `hidden beast` number, since 9 + 8 + 6 + 588 + 46 + 7 + 2 = 666.

It is a super-2 number, since 2×9865884672² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9865884671) 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, 3675843 + ... + 3678525.

It is an arithmetic number, because the mean of its divisors is an integer number (99893600).

Almost surely, 2^9865884672 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 9865884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17581273600).

9865884672 is an abundant number, since it is smaller than the sum of its proper divisors (25296662528).

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

9865884672 is a wasteful number, since it uses less digits than its factorization.

9865884672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2738 (or 2714 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The square root of 9865884672 is about 99327.1597902608. The cubic root of 9865884672 is about 2144.7598850983.

The spelling of 9865884672 in words is "nine billion, eight hundred sixty-five million, eight hundred eighty-four thousand, six hundred seventy-two".