268074382860 has 144 divisors (see below), whose sum is σ = 825148265760. Its totient is φ = 70434524160.

The previous prime is 268074382801. The next prime is 268074382871. The reversal of 268074382860 is 68283470862.

268074382860 is a `hidden beast` number, since 268 + 0 + 74 + 38 + 286 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 268074382797 and 268074382806.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13379650 + ... + 13399670.

It is an arithmetic number, because the mean of its divisors is an integer number (5730196290).

Almost surely, 2^268074382860 is an apocalyptic number.

268074382860 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 268074382860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412574132880).

268074382860 is an abundant number, since it is smaller than the sum of its proper divisors (557073882900).

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

268074382860 is a wasteful number, since it uses less digits than its factorization.

268074382860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21128 (or 21123 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 268074382860 in words is "two hundred sixty-eight billion, seventy-four million, three hundred eighty-two thousand, eight hundred sixty".