4633645824 has 270 divisors, whose sum is σ = 14605718820. Its totient is φ = 1460892672.

The previous prime is 4633645813. The next prime is 4633645837. The reversal of 4633645824 is 4285463364.

4633645824 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 64 + 582 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 4633645824.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7485387 + ... + 7486005.

Almost surely, 2^4633645824 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 4633645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302859410).

4633645824 is an abundant number, since it is smaller than the sum of its proper divisors (9972072996).

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

4633645824 is an equidigital number, since it uses as much as digits as its factorization.

4633645824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 643 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 45.

The square root of 4633645824 is about 68070.8882269065. Note that the first 3 decimals coincide. The cubic root of 4633645824 is about 1667.1484706966.

The spelling of 4633645824 in words is "four billion, six hundred thirty-three million, six hundred forty-five thousand, eight hundred twenty-four".