9065958720 has 448 divisors, whose sum is σ = 35706564096. Its totient is φ = 1897758720.

The previous prime is 9065958677. The next prime is 9065958721. The reversal of 9065958720 is 278595609.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9065958721) 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, 13715190 + ... + 13715850.

It is an arithmetic number, because the mean of its divisors is an integer number (79702152).

Almost surely, 2^9065958720 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 9065958720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17853282048).

9065958720 is an abundant number, since it is smaller than the sum of its proper divisors (26640605376).

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

9065958720 is a wasteful number, since it uses less digits than its factorization.

9065958720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 848 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 51.

The square root of 9065958720 is about 95215.3281777677. The cubic root of 9065958720 is about 2085.1529288768.

The spelling of 9065958720 in words is "nine billion, sixty-five million, nine hundred fifty-eight thousand, seven hundred twenty".