9663413760 has 960 divisors, whose sum is σ = 45042117120. Its totient is φ = 1849098240.

The previous prime is 9663413743. The next prime is 9663413791. The reversal of 9663413760 is 673143669.

9663413760 is a `hidden beast` number, since 9 + 6 + 634 + 1 + 3 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23062831 + ... + 23063249.

It is an arithmetic number, because the mean of its divisors is an integer number (46918872).

Almost surely, 2^9663413760 is an apocalyptic number.

9663413760 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 9663413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22521058560).

9663413760 is an abundant number, since it is smaller than the sum of its proper divisors (35378703360).

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

9663413760 is a wasteful number, since it uses less digits than its factorization.

9663413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 9663413760 is about 98302.6640534223. The cubic root of 9663413760 is about 2129.9865369777.

The spelling of 9663413760 in words is "nine billion, six hundred sixty-three million, four hundred thirteen thousand, seven hundred sixty".