6256427219328 has 256 divisors, whose sum is σ = 20197236729600. Its totient is φ = 1689702604800.

The previous prime is 6256427219327. The next prime is 6256427219369. The reversal of 6256427219328 is 8239127246526.

It is a super-3 number, since 3×6256427219328³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6256427219327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 371958 + ... + 3556853.

It is an arithmetic number, because the mean of its divisors is an integer number (78895455975).

Almost surely, 2^{6256427219328} 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 6256427219328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10098618364800).

6256427219328 is an abundant number, since it is smaller than the sum of its proper divisors (13940809510272).

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

6256427219328 is a wasteful number, since it uses less digits than its factorization.

6256427219328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3928881 (or 3928869 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 57.

The spelling of 6256427219328 in words is "six trillion, two hundred fifty-six billion, four hundred twenty-seven million, two hundred nineteen thousand, three hundred twenty-eight".