9068794560 has 672 divisors, whose sum is σ = 38472099840. Its totient is φ = 2003097600.

The previous prime is 9068794549. The next prime is 9068794561. The reversal of 9068794560 is 654978609.

9068794560 is a `hidden beast` number, since 9 + 0 + 6 + 8 + 79 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 9068794497 and 9068794506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9068794561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13123815 + ... + 13124505.

Almost surely, 2^9068794560 is an apocalyptic number.

9068794560 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 9068794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19236049920).

9068794560 is an abundant number, since it is smaller than the sum of its proper divisors (29403305280).

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

9068794560 is a wasteful number, since it uses less digits than its factorization.

9068794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 9068794560 is about 95230.2187333412. The cubic root of 9068794560 is about 2085.3703187791.

The spelling of 9068794560 in words is "nine billion, sixty-eight million, seven hundred ninety-four thousand, five hundred sixty".