5643648000 has 704 divisors, whose sum is σ = 22072227840. Its totient is φ = 1419264000.

The previous prime is 5643647987. The next prime is 5643648001. The reversal of 5643648000 is 8463465.

5643648000 is a `hidden beast` number, since 5 + 6 + 4 + 3 + 648 + 0 + 0 + 0 = 666.

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 (5643648001) 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, 79487965 + ... + 79488035.

Almost surely, 2^5643648000 is an apocalyptic number.

5643648000 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 5643648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11036113920).

5643648000 is an abundant number, since it is smaller than the sum of its proper divisors (16428579840).

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

5643648000 is a wasteful number, since it uses less digits than its factorization.

5643648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 5643648000 is about 75124.2171340241. The cubic root of 5643648000 is about 1780.4097865602.

The spelling of 5643648000 in words is "five billion, six hundred forty-three million, six hundred forty-eight thousand".