5633241600 has 480 divisors, whose sum is σ = 22407137280. Its totient is φ = 1218723840.

The previous prime is 5633241599. The next prime is 5633241631. The reversal of 5633241600 is 61423365.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 5106649 + ... + 5107751.

It is an arithmetic number, because the mean of its divisors is an integer number (46681536).

Almost surely, 2^5633241600 is an apocalyptic number.

5633241600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5633241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203568640).

5633241600 is an abundant number, since it is smaller than the sum of its proper divisors (16773895680).

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

5633241600 is a wasteful number, since it uses less digits than its factorization.

5633241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 5633241600 is about 75054.9238891094. The cubic root of 5633241600 is about 1779.3148059210.

Adding to 5633241600 its reverse (61423365), we get a palindrome (5694664965).

The spelling of 5633241600 in words is "five billion, six hundred thirty-three million, two hundred forty-one thousand, six hundred".