5643468600 has 768 divisors, whose sum is σ = 23449927680. Its totient is φ = 1088102400.

The previous prime is 5643468581. The next prime is 5643468613. The reversal of 5643468600 is 68643465.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49942144 + ... + 49942256.

It is an arithmetic number, because the mean of its divisors is an integer number (30533760).

Almost surely, 2^5643468600 is an apocalyptic number.

5643468600 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 5643468600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11724963840).

5643468600 is an abundant number, since it is smaller than the sum of its proper divisors (17806459080).

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

5643468600 is a wasteful number, since it uses less digits than its factorization.

5643468600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 5643468600 is about 75123.0231021090. The cubic root of 5643468600 is about 1780.3909211679.

The spelling of 5643468600 in words is "five billion, six hundred forty-three million, four hundred sixty-eight thousand, six hundred".