6068353200 has 480 divisors, whose sum is σ = 24343775232. Its totient is φ = 1257984000.

The previous prime is 6068353177. The next prime is 6068353223. The reversal of 6068353200 is 23538606.

It is an interprime number because it is at equal distance from previous prime (6068353177) and next prime (6068353223).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6660745 + ... + 6661655.

Almost surely, 2^6068353200 is an apocalyptic number.

6068353200 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 6068353200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12171887616).

6068353200 is an abundant number, since it is smaller than the sum of its proper divisors (18275422032).

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

6068353200 is a wasteful number, since it uses less digits than its factorization.

6068353200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 1002 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 6068353200 is about 77899.6354291854. The cubic root of 6068353200 is about 1823.9948878358.

The spelling of 6068353200 in words is "six billion, sixty-eight million, three hundred fifty-three thousand, two hundred".