9651646368 has 960 divisors, whose sum is σ = 38727279360. Its totient is φ = 2285273088.

The previous prime is 9651646349. The next prime is 9651646387. The reversal of 9651646368 is 8636461569.

9651646368 is a `hidden beast` number, since 9 + 6 + 516 + 4 + 63 + 68 = 666.

9651646368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (9651646349) and next prime (9651646387).

It is a super-2 number, since 2×9651646368² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 116284855 + ... + 116284937.

It is an arithmetic number, because the mean of its divisors is an integer number (40340916).

Almost surely, 2^9651646368 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 9651646368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19363639680).

9651646368 is an abundant number, since it is smaller than the sum of its proper divisors (29075632992).

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

9651646368 is a wasteful number, since it uses less digits than its factorization.

9651646368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 154 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 9651646368 is about 98242.7929570409. The cubic root of 9651646368 is about 2129.1216056708.

It can be divided in two parts, 96516 and 46368, that added together give a square (142884 = 378²).

The spelling of 9651646368 in words is "nine billion, six hundred fifty-one million, six hundred forty-six thousand, three hundred sixty-eight".