4633827168 has 24 divisors (see below), whose sum is σ = 12163796568. Its totient is φ = 1544609024.

The previous prime is 4633827167. The next prime is 4633827193. The reversal of 4633827168 is 8617283364.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4633827161) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 24134421 + ... + 24134612.

It is an arithmetic number, because the mean of its divisors is an integer number (506824857).

Almost surely, 2^4633827168 is an apocalyptic number.

4633827168 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

4633827168 is an abundant number, since it is smaller than the sum of its proper divisors (7529969400).

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

4633827168 is a wasteful number, since it uses less digits than its factorization.

4633827168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48269046 (or 48269038 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 4633827168 is about 68072.2202370394. The cubic root of 4633827168 is about 1667.1702191167.

The spelling of 4633827168 in words is "four billion, six hundred thirty-three million, eight hundred twenty-seven thousand, one hundred sixty-eight".