6228757785600 has 2112 divisors, whose sum is σ = 28369604229120. Its totient is φ = 1306578124800.

The previous prime is 6228757785587. The next prime is 6228757785647. The reversal of 6228757785600 is 65877578226.

6228757785600 is a `hidden beast` number, since 6 + 2 + 2 + 8 + 7 + 577 + 8 + 56 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3372363877 + ... + 3372365723.

It is an arithmetic number, because the mean of its divisors is an integer number (13432577760).

Almost surely, 2^{6228757785600} is an apocalyptic number.

6228757785600 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 6228757785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14184802114560).

6228757785600 is an abundant number, since it is smaller than the sum of its proper divisors (22140846443520).

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

6228757785600 is a wasteful number, since it uses less digits than its factorization.

6228757785600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1951 (or 1922 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 6228757785600 in words is "six trillion, two hundred twenty-eight billion, seven hundred fifty-seven million, seven hundred eighty-five thousand, six hundred".