256277024640 has 576 divisors, whose sum is σ = 1108642822560. Its totient is φ = 54070861824.

The previous prime is 256277024603. The next prime is 256277024693. The reversal of 256277024640 is 46420772652.

It is a happy number.

256277024640 is a `hidden beast` number, since 2 + 562 + 7 + 7 + 0 + 2 + 46 + 40 = 666.

256277024640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3634197 + ... + 3704043.

Almost surely, 2^256277024640 is an apocalyptic number.

256277024640 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 256277024640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554321411280).

256277024640 is an abundant number, since it is smaller than the sum of its proper divisors (852365797920).

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

256277024640 is a wasteful number, since it uses less digits than its factorization.

256277024640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69899 (or 69877 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 256277024640 in words is "two hundred fifty-six billion, two hundred seventy-seven million, twenty-four thousand, six hundred forty".