9067307326560 has 1152 divisors, whose sum is σ = 37557887238144. Its totient is φ = 2022727956480.

The previous prime is 9067307326531. The next prime is 9067307326631. The reversal of 9067307326560 is 656237037609.

9067307326560 is a `hidden beast` number, since 9 + 0 + 6 + 7 + 3 + 0 + 73 + 2 + 6 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 9067307326497 and 9067307326506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5922472995 + ... + 5922474525.

It is an arithmetic number, because the mean of its divisors is an integer number (32602332672).

Almost surely, 2^{9067307326560} is an apocalyptic number.

9067307326560 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9067307326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18778943619072).

9067307326560 is an abundant number, since it is smaller than the sum of its proper divisors (28490579911584).

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

9067307326560 is a wasteful number, since it uses less digits than its factorization.

9067307326560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2078 (or 2058 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 54.

The spelling of 9067307326560 in words is "nine trillion, sixty-seven billion, three hundred seven million, three hundred twenty-six thousand, five hundred sixty".