256633784160 has 384 divisors, whose sum is σ = 891266955264. Its totient is φ = 61677035520.

The previous prime is 256633784119. The next prime is 256633784161. The reversal of 256633784160 is 61487336652.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256633784161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163356175 + ... + 163357745.

It is an arithmetic number, because the mean of its divisors is an integer number (2321007696).

Almost surely, 2^256633784160 is an apocalyptic number.

256633784160 is a gapful number since it is divisible by the number (20) 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 256633784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445633477632).

256633784160 is an abundant number, since it is smaller than the sum of its proper divisors (634633171104).

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

256633784160 is a wasteful number, since it uses less digits than its factorization.

256633784160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2206 (or 2198 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 256633784160 in words is "two hundred fifty-six billion, six hundred thirty-three million, seven hundred eighty-four thousand, one hundred sixty".