256341500766 has 240 divisors, whose sum is σ = 664917089760. Its totient is φ = 73597455360.

The previous prime is 256341500729. The next prime is 256341500777. The reversal of 256341500766 is 667005143652.

256341500766 is a `hidden beast` number, since 2 + 5 + 634 + 1 + 5 + 0 + 0 + 7 + 6 + 6 = 666.

It is a super-3 number, since 3×256341500766³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 25812490 + ... + 25822418.

It is an arithmetic number, because the mean of its divisors is an integer number (2770487874).

Almost surely, 2^256341500766 is an apocalyptic number.

256341500766 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 256341500766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332458544880).

256341500766 is an abundant number, since it is smaller than the sum of its proper divisors (408575588994).

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

256341500766 is a wasteful number, since it uses less digits than its factorization.

256341500766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10033 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 256341500766 in words is "two hundred fifty-six billion, three hundred forty-one million, five hundred thousand, seven hundred sixty-six".