5648832000 has 640 divisors, whose sum is σ = 23899898880. Its totient is φ = 1288396800.

The previous prime is 5648831989. The next prime is 5648832001. The reversal of 5648832000 is 2388465.

5648832000 is a `hidden beast` number, since 5 + 648 + 8 + 3 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5648832001) 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 63 ways as a sum of consecutive naturals, for example, 12095767 + ... + 12096233.

It is an arithmetic number, because the mean of its divisors is an integer number (37343592).

Almost surely, 2^5648832000 is an apocalyptic number.

5648832000 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 5648832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11949949440).

5648832000 is an abundant number, since it is smaller than the sum of its proper divisors (18251066880).

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

5648832000 is an equidigital number, since it uses as much as digits as its factorization.

5648832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5648832000 is about 75158.7120698592. The cubic root of 5648832000 is about 1780.9547543893.

It can be divided in two parts, 56488 and 32000, that added together give a palindrome (88488).

The spelling of 5648832000 in words is "five billion, six hundred forty-eight million, eight hundred thirty-two thousand".