4632163600 has 135 divisors (see below), whose sum is σ = 11545914319. Its totient is φ = 1785894400.

The previous prime is 4632163567. The next prime is 4632163603. The reversal of 4632163600 is 63612364.

The square root of 4632163600 is 68060.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1949752336 + 2682411264 = 44156^2 + 51792^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4632163603) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 55809159 + ... + 55809241.

Almost surely, 2^4632163600 is an apocalyptic number.

4632163600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

4632163600 is the 68060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4632163600

4632163600 is an abundant number, since it is smaller than the sum of its proper divisors (6913750719).

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

4632163600 is an equidigital number, since it uses as much as digits as its factorization.

4632163600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 31.

The cubic root of 4632163600 is about 1666.9706876505.

Adding to 4632163600 its reverse (63612364), we get a palindrome (4695775964).

The spelling of 4632163600 in words is "four billion, six hundred thirty-two million, one hundred sixty-three thousand, six hundred".