9809952768 has 480 divisors, whose sum is σ = 36641404800. Its totient is φ = 2548039680.

The previous prime is 9809952767. The next prime is 9809952769. The reversal of 9809952768 is 8672599089.

It is an interprime number because it is at equal distance from previous prime (9809952767) and next prime (9809952769).

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 (9809952767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 891813883 + ... + 891813893.

It is an arithmetic number, because the mean of its divisors is an integer number (76336260).

Almost surely, 2^9809952768 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 9809952768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18320702400).

9809952768 is an abundant number, since it is smaller than the sum of its proper divisors (26831452032).

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

9809952768 is an frugal number, since it uses more digits than its factorization.

9809952768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 63.

The square root of 9809952768 is about 99045.2056790232. The cubic root of 9809952768 is about 2140.6991607271.

The spelling of 9809952768 in words is "nine billion, eight hundred nine million, nine hundred fifty-two thousand, seven hundred sixty-eight".