6068620800 has 360 divisors, whose sum is σ = 23697222120. Its totient is φ = 1470873600.

The previous prime is 6068620793. The next prime is 6068620801. The reversal of 6068620800 is 80268606.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6068620801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1264806 + ... + 1269594.

It is an arithmetic number, because the mean of its divisors is an integer number (65825617).

Almost surely, 2^6068620800 is an apocalyptic number.

6068620800 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 6068620800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11848611060).

6068620800 is an abundant number, since it is smaller than the sum of its proper divisors (17628601320).

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

6068620800 is a wasteful number, since it uses less digits than its factorization.

6068620800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4834 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6068620800 is about 77901.3530049382. The cubic root of 6068620800 is about 1824.0216987262.

The spelling of 6068620800 in words is "six billion, sixty-eight million, six hundred twenty thousand, eight hundred".