4636381824 has 192 divisors, whose sum is σ = 14499014400. Its totient is φ = 1416683520.

The previous prime is 4636381747. The next prime is 4636381853. The reversal of 4636381824 is 4281836364.

4636381824 is a `hidden beast` number, since 4 + 6 + 3 + 638 + 1 + 8 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4636381824.

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, 675112 + ... + 681944.

It is an arithmetic number, because the mean of its divisors is an integer number (75515700).

Almost surely, 2^4636381824 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 4636381824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7249507200).

4636381824 is an abundant number, since it is smaller than the sum of its proper divisors (9862632576).

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

4636381824 is a wasteful number, since it uses less digits than its factorization.

4636381824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6903 (or 6888 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The square root of 4636381824 is about 68090.9819579656. The cubic root of 4636381824 is about 1667.4765363940.

The spelling of 4636381824 in words is "four billion, six hundred thirty-six million, three hundred eighty-one thousand, eight hundred twenty-four".