9663180480 has 672 divisors, whose sum is σ = 36588801600. Its totient is φ = 2334818304.

The previous prime is 9663180437. The next prime is 9663180481. The reversal of 9663180480 is 840813669.

9663180480 is a `hidden beast` number, since 9 + 6 + 631 + 8 + 0 + 4 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (9663180481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163782691 + ... + 163782749.

Almost surely, 2^9663180480 is an apocalyptic number.

9663180480 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 9663180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294400800).

9663180480 is an abundant number, since it is smaller than the sum of its proper divisors (26925621120).

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

9663180480 is a wasteful number, since it uses less digits than its factorization.

9663180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 9663180480 is about 98301.4775066987. The cubic root of 9663180480 is about 2129.9693971666.

The spelling of 9663180480 in words is "nine billion, six hundred sixty-three million, one hundred eighty thousand, four hundred eighty".