9673594560 has 448 divisors, whose sum is σ = 39203619840. Its totient is φ = 2199674880.

The previous prime is 9673594543. The next prime is 9673594649. The reversal of 9673594560 is 654953769.

9673594560 is a `hidden beast` number, since 9 + 6 + 73 + 5 + 9 + 4 + 560 = 666.

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

It is a super-2 number, since 2×9673594560² (a number of 21 digits) contains 22 as substring.

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 = 9673594497 and 9673594506.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18567100 + ... + 18567620.

It is an arithmetic number, because the mean of its divisors is an integer number (87508080).

Almost surely, 2^9673594560 is an apocalyptic number.

9673594560 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 9673594560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19601809920).

9673594560 is an abundant number, since it is smaller than the sum of its proper divisors (29530025280).

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

9673594560 is a wasteful number, since it uses less digits than its factorization.

9673594560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The square root of 9673594560 is about 98354.4333520355. The cubic root of 9673594560 is about 2130.7342836366.

The spelling of 9673594560 in words is "nine billion, six hundred seventy-three million, five hundred ninety-four thousand, five hundred sixty".