6200413200 has 180 divisors, whose sum is σ = 21550125168. Its totient is φ = 1650912000.

The previous prime is 6200413187. The next prime is 6200413211. The reversal of 6200413200 is 23140026.

It is a happy number.

6200413200 is a `hidden beast` number, since 620 + 0 + 41 + 3 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4272475 + ... + 4273925.

Almost surely, 2^6200413200 is an apocalyptic number.

6200413200 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 6200413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10775062584).

6200413200 is an abundant number, since it is smaller than the sum of its proper divisors (15349711968).

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

6200413200 is a wasteful number, since it uses less digits than its factorization.

6200413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2662 (or 2648 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6200413200 is about 78742.7025190271. The cubic root of 6200413200 is about 1837.1313601730.

Adding to 6200413200 its reverse (23140026), we get a palindrome (6223553226).

The spelling of 6200413200 in words is "six billion, two hundred million, four hundred thirteen thousand, two hundred".