256084779496 has 128 divisors (see below), whose sum is σ = 600741550080. Its totient is φ = 99637122816.

The previous prime is 256084779439. The next prime is 256084779539. The reversal of 256084779496 is 694977480652.

It is a Harshad number since it is a multiple of its sum of digits (67).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33310165 + ... + 33317851.

It is an arithmetic number, because the mean of its divisors is an integer number (4693293360).

Almost surely, 2^256084779496 is an apocalyptic number.

256084779496 is a gapful number since it is divisible by the number (26) 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 256084779496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300370775040).

256084779496 is an abundant number, since it is smaller than the sum of its proper divisors (344656770584).

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

256084779496 is a wasteful number, since it uses less digits than its factorization.

256084779496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8463 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 67.

The spelling of 256084779496 in words is "two hundred fifty-six billion, eighty-four million, seven hundred seventy-nine thousand, four hundred ninety-six".