256004681328 has 480 divisors, whose sum is σ = 839924366400. Its totient is φ = 74511360000.

The previous prime is 256004681323. The next prime is 256004681341. The reversal of 256004681328 is 823186400652.

256004681328 is a `hidden beast` number, since 2 + 5 + 600 + 4 + 6 + 8 + 1 + 32 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256004681323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425964228 + ... + 425964828.

It is an arithmetic number, because the mean of its divisors is an integer number (1749842430).

Almost surely, 2^256004681328 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 256004681328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419962183200).

256004681328 is an abundant number, since it is smaller than the sum of its proper divisors (583919685072).

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

256004681328 is a wasteful number, since it uses less digits than its factorization.

256004681328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 950 (or 927 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 256004681328 in words is "two hundred fifty-six billion, four million, six hundred eighty-one thousand, three hundred twenty-eight".