6221254560768 has 704 divisors, whose sum is σ = 20282637598720. Its totient is φ = 1872140304384.

The previous prime is 6221254560733. The next prime is 6221254560769. The reversal of 6221254560768 is 8670654521226.

6221254560768 is a `hidden beast` number, since 6 + 2 + 2 + 1 + 2 + 5 + 4 + 560 + 76 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6221254560769) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 3332218971 + ... + 3332220837.

Almost surely, 2^{6221254560768} 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 6221254560768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10141318799360).

6221254560768 is an abundant number, since it is smaller than the sum of its proper divisors (14061383037952).

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

6221254560768 is a wasteful number, since it uses less digits than its factorization.

6221254560768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2109 (or 2085 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 6221254560768 in words is "six trillion, two hundred twenty-one billion, two hundred fifty-four million, five hundred sixty thousand, seven hundred sixty-eight".