9165319680 has 640 divisors, whose sum is σ = 34364943360. Its totient is φ = 2061762560.

The previous prime is 9165319673. The next prime is 9165319687. The reversal of 9165319680 is 869135619.

It is an interprime number because it is at equal distance from previous prime (9165319673) and next prime (9165319687).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9165319687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102981076 + ... + 102981164.

It is an arithmetic number, because the mean of its divisors is an integer number (53695224).

Almost surely, 2^9165319680 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 9165319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17182471680).

9165319680 is an abundant number, since it is smaller than the sum of its proper divisors (25199623680).

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

9165319680 is a wasteful number, since it uses less digits than its factorization.

9165319680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 9165319680 is about 95735.6761087527. The cubic root of 9165319680 is about 2092.7428773605.

The spelling of 9165319680 in words is "nine billion, one hundred sixty-five million, three hundred nineteen thousand, six hundred eighty".