6227456256 has 432 divisors, whose sum is σ = 21782335680. Its totient is φ = 1771435008.

The previous prime is 6227456233. The next prime is 6227456311. The reversal of 6227456256 is 6526547226.

6227456256 is a `hidden beast` number, since 62 + 27 + 4 + 562 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×6227456256² = 77562422840787075072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27433615 + ... + 27433841.

Almost surely, 2^6227456256 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 6227456256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10891167840).

6227456256 is an abundant number, since it is smaller than the sum of its proper divisors (15554879424).

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

6227456256 is an frugal number, since it uses more digits than its factorization.

6227456256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 239 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The square root of 6227456256 is about 78914.2335450329. The cubic root of 6227456256 is about 1839.7983647983.

The spelling of 6227456256 in words is "six billion, two hundred twenty-seven million, four hundred fifty-six thousand, two hundred fifty-six".