9145786560 has 224 divisors, whose sum is σ = 29460456192. Its totient is φ = 2403717120.

The previous prime is 9145786549. The next prime is 9145786567. The reversal of 9145786560 is 656875419.

It is not an unprimeable number, because it can be changed into a prime (9145786567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33017142 + ... + 33017418.

Almost surely, 2^9145786560 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 9145786560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14730228096).

9145786560 is an abundant number, since it is smaller than the sum of its proper divisors (20314669632).

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

9145786560 is a wasteful number, since it uses less digits than its factorization.

9145786560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 51.

The square root of 9145786560 is about 95633.6058088369. The cubic root of 9145786560 is about 2091.2551361365.

The spelling of 9145786560 in words is "nine billion, one hundred forty-five million, seven hundred eighty-six thousand, five hundred sixty".