9165840768 has 960 divisors, whose sum is σ = 36374342400. Its totient is φ = 2233516032.

The previous prime is 9165840767. The next prime is 9165840797. The reversal of 9165840768 is 8670485619.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9165840767) 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 119 ways as a sum of consecutive naturals, for example, 398514805 + ... + 398514827.

It is an arithmetic number, because the mean of its divisors is an integer number (37889940).

Almost surely, 2^9165840768 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 9165840768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18187171200).

9165840768 is an abundant number, since it is smaller than the sum of its proper divisors (27208501632).

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

9165840768 is a wasteful number, since it uses less digits than its factorization.

9165840768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 9165840768 is about 95738.3975633601. The cubic root of 9165840768 is about 2092.7825370986.

The spelling of 9165840768 in words is "nine billion, one hundred sixty-five million, eight hundred forty thousand, seven hundred sixty-eight".