5643413600 has 288 divisors, whose sum is σ = 15730993152. Its totient is φ = 1958400000.

The previous prime is 5643413593. The next prime is 5643413623. The reversal of 5643413600 is 63143465.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37373525 + ... + 37373675.

It is an arithmetic number, because the mean of its divisors is an integer number (54621504).

Almost surely, 2^5643413600 is an apocalyptic number.

5643413600 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 5643413600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7865496576).

5643413600 is an abundant number, since it is smaller than the sum of its proper divisors (10087579552).

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

5643413600 is a wasteful number, since it uses less digits than its factorization.

5643413600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 5643413600 is about 75122.6570350117. The cubic root of 5643413600 is about 1780.3851373834.

The spelling of 5643413600 in words is "five billion, six hundred forty-three million, four hundred thirteen thousand, six hundred".