6427040256 has 600 divisors, whose sum is σ = 23920817184. Its totient is φ = 1682104320.

The previous prime is 6427040251. The next prime is 6427040299. The reversal of 6427040256 is 6520407246.

6427040256 is a `hidden beast` number, since 642 + 7 + 0 + 4 + 0 + 2 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 6427040256.

It is not an unprimeable number, because it can be changed into a prime (6427040251) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 49061311 + ... + 49061441.

Almost surely, 2^6427040256 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 6427040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11960408592).

6427040256 is an abundant number, since it is smaller than the sum of its proper divisors (17493776928).

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

6427040256 is a wasteful number, since it uses less digits than its factorization.

6427040256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 6427040256 is about 80168.8234664823. The cubic root of 6427040256 is about 1859.2466460036.

The spelling of 6427040256 in words is "six billion, four hundred twenty-seven million, forty thousand, two hundred fifty-six".