9685878048 has 768 divisors, whose sum is σ = 37309870080. Its totient is φ = 2372198400.

The previous prime is 9685878043. The next prime is 9685878067. The reversal of 9685878048 is 8408785869.

9685878048 is a `hidden beast` number, since 9 + 6 + 8 + 587 + 8 + 0 + 48 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9685878043) 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 127 ways as a sum of consecutive naturals, for example, 144565311 + ... + 144565377.

It is an arithmetic number, because the mean of its divisors is an integer number (48580560).

Almost surely, 2^9685878048 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 9685878048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18654935040).

9685878048 is an abundant number, since it is smaller than the sum of its proper divisors (27623992032).

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

9685878048 is a wasteful number, since it uses less digits than its factorization.

9685878048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The square root of 9685878048 is about 98416.8585558389. The cubic root of 9685878048 is about 2131.6357678640.

The spelling of 9685878048 in words is "nine billion, six hundred eighty-five million, eight hundred seventy-eight thousand, forty-eight".