9602561664 has 320 divisors, whose sum is σ = 29935521000. Its totient is φ = 3051675648.

The previous prime is 9602561659. The next prime is 9602561711. The reversal of 9602561664 is 4661652069.

9602561664 is a `hidden beast` number, since 9 + 6 + 0 + 25 + 616 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9602432064 + 129600 = 97992^2 + 360^2 .

It is a super-3 number, since 3×9602561664³ (a number of 31 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32773102 + ... + 32773394.

Almost surely, 2^9602561664 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 9602561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14967760500).

9602561664 is an abundant number, since it is smaller than the sum of its proper divisors (20332959336).

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

9602561664 is a wasteful number, since it uses less digits than its factorization.

9602561664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 9602561664 is about 97992.6612762405. The cubic root of 9602561664 is about 2125.5061614283.

The spelling of 9602561664 in words is "nine billion, six hundred two million, five hundred sixty-one thousand, six hundred sixty-four".