9661310208 has 288 divisors, whose sum is σ = 32180736000. Its totient is φ = 2832537600.

The previous prime is 9661310201. The next prime is 9661310213. The reversal of 9661310208 is 8020131669.

9661310208 is a `hidden beast` number, since 9 + 6 + 613 + 10 + 20 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9661310201) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2354943 + ... + 2359041.

Almost surely, 2^9661310208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9661310208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16090368000).

9661310208 is an abundant number, since it is smaller than the sum of its proper divisors (22519425792).

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

9661310208 is a wasteful number, since it uses less digits than its factorization.

9661310208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4166 (or 4146 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 9661310208 is about 98291.9641069401. The cubic root of 9661310208 is about 2129.8319724624.

The spelling of 9661310208 in words is "nine billion, six hundred sixty-one million, three hundred ten thousand, two hundred eight".