6220585600 has 192 divisors, whose sum is σ = 16673542200. Its totient is φ = 2283929600.

The previous prime is 6220585571. The next prime is 6220585619. The reversal of 6220585600 is 65850226.

It can be written as a sum of positive squares in 12 ways, for example, as 202549824 + 6018035776 = 14232^2 + 77576^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2229006 + ... + 2231794.

Almost surely, 2^6220585600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6220585600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8336771100).

6220585600 is an abundant number, since it is smaller than the sum of its proper divisors (10452956600).

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

6220585600 is a wasteful number, since it uses less digits than its factorization.

6220585600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2871 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

The square root of 6220585600 is about 78870.6891056494. The cubic root of 6220585600 is about 1839.1215088055.

The spelling of 6220585600 in words is "six billion, two hundred twenty million, five hundred eighty-five thousand, six hundred".