9663144480 has 240 divisors, whose sum is σ = 37203655104. Its totient is φ = 2342545920.

The previous prime is 9663144467. The next prime is 9663144497. The reversal of 9663144480 is 844413669.

9663144480 is a `hidden beast` number, since 9 + 6 + 631 + 4 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×9663144480² (a number of 21 digits) contains 22 as substring.

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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108669 + ... + 176451.

Almost surely, 2^9663144480 is an apocalyptic number.

9663144480 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 9663144480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18601827552).

9663144480 is an abundant number, since it is smaller than the sum of its proper divisors (27540510624).

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

9663144480 is a wasteful number, since it uses less digits than its factorization.

9663144480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67821 (or 67804 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 9663144480 is about 98301.2943963608. The cubic root of 9663144480 is about 2129.9667521095.

The spelling of 9663144480 in words is "nine billion, six hundred sixty-three million, one hundred forty-four thousand, four hundred eighty".