9708226560 has 144 divisors (see below), whose sum is σ = 33647288220. Its totient is φ = 2588835840.

The previous prime is 9708226559. The next prime is 9708226571. The reversal of 9708226560 is 656228079.

9708226560 is a `hidden beast` number, since 9 + 7 + 0 + 82 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7783474176 + 1924752384 = 88224^2 + 43872^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39490 + ... + 144830.

Almost surely, 2^9708226560 is an apocalyptic number.

9708226560 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 9708226560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16823644110).

9708226560 is an abundant number, since it is smaller than the sum of its proper divisors (23939061660).

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

9708226560 is a wasteful number, since it uses less digits than its factorization.

9708226560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105374 (or 105351 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 9708226560 is about 98530.3331974474. Note that the first 3 decimals coincide. The cubic root of 9708226560 is about 2133.2739705704.

The spelling of 9708226560 in words is "nine billion, seven hundred eight million, two hundred twenty-six thousand, five hundred sixty".