6068701800 has 576 divisors, whose sum is σ = 24921262080. Its totient is φ = 1293304320.

The previous prime is 6068701799. The next prime is 6068701817. The reversal of 6068701800 is 81078606.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12461157 + ... + 12461643.

It is an arithmetic number, because the mean of its divisors is an integer number (43266080).

Almost surely, 2^6068701800 is an apocalyptic number.

6068701800 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 6068701800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12460631040).

6068701800 is an abundant number, since it is smaller than the sum of its proper divisors (18852560280).

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

6068701800 is a wasteful number, since it uses less digits than its factorization.

6068701800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 6068701800 is about 77901.8728914780. The cubic root of 6068701800 is about 1824.0298139748.

The spelling of 6068701800 in words is "six billion, sixty-eight million, seven hundred one thousand, eight hundred".