6281564256 has 480 divisors, whose sum is σ = 21339521280. Its totient is φ = 1795046400.

The previous prime is 6281564249. The next prime is 6281564279. The reversal of 6281564256 is 6524651826.

6281564256 is a `hidden beast` number, since 6 + 2 + 81 + 564 + 2 + 5 + 6 = 666.

Its product of digits (691200) is a multiple of the sum of its prime factors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 58706155 + ... + 58706261.

It is an arithmetic number, because the mean of its divisors is an integer number (44457336).

Almost surely, 2^6281564256 is an apocalyptic number.

6281564256 is a gapful number since it is divisible by the number (66) 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 6281564256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10669760640).

6281564256 is an abundant number, since it is smaller than the sum of its proper divisors (15057957024).

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

6281564256 is a wasteful number, since it uses less digits than its factorization.

6281564256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 223 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 6281564256 is about 79256.3199751288. The cubic root of 6281564256 is about 1845.1114428024. Note that the first 3 decimals are identical.

The spelling of 6281564256 in words is "six billion, two hundred eighty-one million, five hundred sixty-four thousand, two hundred fifty-six".