6223744800 has 1296 divisors, whose sum is σ = 29175007680. Its totient is φ = 1234759680.

The previous prime is 6223744799. The next prime is 6223744817. The reversal of 6223744800 is 84473226.

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 215 ways as a sum of consecutive naturals, for example, 105487171 + ... + 105487229.

It is an arithmetic number, because the mean of its divisors is an integer number (22511580).

Almost surely, 2^6223744800 is an apocalyptic number.

6223744800 is a gapful number since it is divisible by the number (60) 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 6223744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14587503840).

6223744800 is an abundant number, since it is smaller than the sum of its proper divisors (22951262880).

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

6223744800 is a wasteful number, since it uses less digits than its factorization.

6223744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 6223744800 is about 78890.7142824807. The cubic root of 6223744800 is about 1839.4327961845.

The spelling of 6223744800 in words is "six billion, two hundred twenty-three million, seven hundred forty-four thousand, eight hundred".