5643820800 has 648 divisors, whose sum is σ = 22141916160. Its totient is φ = 1418342400.

The previous prime is 5643820757. The next prime is 5643820811. The reversal of 5643820800 is 80283465.

5643820800 is a `hidden beast` number, since 5 + 643 + 8 + 2 + 0 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29548705 + ... + 29548895.

Almost surely, 2^5643820800 is an apocalyptic number.

5643820800 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 5643820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11070958080).

5643820800 is an abundant number, since it is smaller than the sum of its proper divisors (16498095360).

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

5643820800 is a wasteful number, since it uses less digits than its factorization.

5643820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 220 counting only the distinct ones).

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

The square root of 5643820800 is about 75125.3672204003. The cubic root of 5643820800 is about 1780.4279575299.

The spelling of 5643820800 in words is "five billion, six hundred forty-three million, eight hundred twenty thousand, eight hundred".