4663056384 has 288 divisors, whose sum is σ = 16077625200. Its totient is φ = 1331527680.

The previous prime is 4663056379. The next prime is 4663056401. The reversal of 4663056384 is 4836503664.

4663056384 is a `hidden beast` number, since 4 + 6 + 6 + 3 + 0 + 5 + 638 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2708644 + ... + 2710364.

Almost surely, 2^4663056384 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 4663056384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8038812600).

4663056384 is an abundant number, since it is smaller than the sum of its proper divisors (11414568816).

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

4663056384 is a wasteful number, since it uses less digits than its factorization.

4663056384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 4663056384 is about 68286.5754303143. The cubic root of 4663056384 is about 1670.6682618435.

The spelling of 4663056384 in words is "four billion, six hundred sixty-three million, fifty-six thousand, three hundred eighty-four".