6228034560 has 396 divisors, whose sum is σ = 23741376204. Its totient is φ = 1508474880.

The previous prime is 6228034517. The next prime is 6228034591. The reversal of 6228034560 is 654308226.

6228034560 is a `hidden beast` number, since 62 + 2 + 8 + 0 + 34 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1071645696 + 5156388864 = 32736^2 + 71808^2 .

It is a tau number, because it is divible by the number of its divisors (396).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5575122 + ... + 5576238.

Almost surely, 2^6228034560 is an apocalyptic number.

6228034560 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 6228034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11870688102).

6228034560 is an abundant number, since it is smaller than the sum of its proper divisors (17513341644).

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

6228034560 is a wasteful number, since it uses less digits than its factorization.

6228034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1138 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 6228034560 is about 78917.8975898370. The cubic root of 6228034560 is about 1839.8553131346.

The spelling of 6228034560 in words is "six billion, two hundred twenty-eight million, thirty-four thousand, five hundred sixty".