9786868224 has 320 divisors, whose sum is σ = 31114127616. Its totient is φ = 2675441664.

The previous prime is 9786868219. The next prime is 9786868229. The reversal of 9786868224 is 4228686879.

It is an interprime number because it is at equal distance from previous prime (9786868219) and next prime (9786868229).

It is not an unprimeable number, because it can be changed into a prime (9786868229) by changing a digit.

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, 29040984 + ... + 29041320.

Almost surely, 2^9786868224 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 9786868224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15557063808).

9786868224 is an abundant number, since it is smaller than the sum of its proper divisors (21327259392).

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

9786868224 is a wasteful number, since it uses less digits than its factorization.

9786868224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 475 (or 459 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 60.

The square root of 9786868224 is about 98928.6016478551. The cubic root of 9786868224 is about 2139.0186946998.

The spelling of 9786868224 in words is "nine billion, seven hundred eighty-six million, eight hundred sixty-eight thousand, two hundred twenty-four".