9832426560 has 336 divisors, whose sum is σ = 37159387200. Its totient is φ = 2366484480.

The previous prime is 9832426531. The next prime is 9832426573. The reversal of 9832426560 is 656242389.

9832426560 is a `hidden beast` number, since 9 + 8 + 324 + 265 + 60 = 666.

It is a super-2 number, since 2×9832426560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 4719279 + ... + 4721361.

Almost surely, 2^9832426560 is an apocalyptic number.

9832426560 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 9832426560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18579693600).

9832426560 is an abundant number, since it is smaller than the sum of its proper divisors (27326960640).

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

9832426560 is a wasteful number, since it uses less digits than its factorization.

9832426560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2253 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 9832426560 is about 99158.5929710582. The cubic root of 9832426560 is about 2142.3326356649.

The spelling of 9832426560 in words is "nine billion, eight hundred thirty-two million, four hundred twenty-six thousand, five hundred sixty".