9639852768 has 672 divisors, whose sum is σ = 37018598400. Its totient is φ = 2398491648.

The previous prime is 9639852767. The next prime is 9639852791. The reversal of 9639852768 is 8672589369.

9639852768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×9639852768² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

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 (9639852767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40333993 + ... + 40334231.

It is an arithmetic number, because the mean of its divisors is an integer number (55087200).

Almost surely, 2^9639852768 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 9639852768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18509299200).

9639852768 is an abundant number, since it is smaller than the sum of its proper divisors (27378745632).

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

9639852768 is a wasteful number, since it uses less digits than its factorization.

9639852768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 283 counting only the distinct ones).

The product of its digits is 39191040, while the sum is 63.

The square root of 9639852768 is about 98182.7518864693. The cubic root of 9639852768 is about 2128.2540423527.

The spelling of 9639852768 in words is "nine billion, six hundred thirty-nine million, eight hundred fifty-two thousand, seven hundred sixty-eight".