256743620675136 has 672 divisors, whose sum is σ = 894293481513600. Its totient is φ = 71998612439040.

The previous prime is 256743620675083. The next prime is 256743620675177. The reversal of 256743620675136 is 631576026347652.

256743620675136 is a `hidden beast` number, since 2 + 5 + 6 + 7 + 4 + 36 + 20 + 67 + 513 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3202170280 + ... + 3202250456.

It is an arithmetic number, because the mean of its divisors is an integer number (1330793871300).

Almost surely, 2^{256743620675136} 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 256743620675136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447146740756800).

256743620675136 is an abundant number, since it is smaller than the sum of its proper divisors (637549860838464).

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

256743620675136 is a wasteful number, since it uses less digits than its factorization.

256743620675136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80912 (or 80889 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 63.

The spelling of 256743620675136 in words is "two hundred fifty-six trillion, seven hundred forty-three billion, six hundred twenty million, six hundred seventy-five thousand, one hundred thirty-six".