268376745600 has 432 divisors, whose sum is σ = 974499736470. Its totient is φ = 70327848960.

The previous prime is 268376745583. The next prime is 268376745629. The reversal of 268376745600 is 6547673862.

268376745600 is a `hidden beast` number, since 2 + 6 + 8 + 3 + 7 + 6 + 74 + 560 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 114530803776 + 153845941824 = 338424^2 + 392232^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 100251462 + ... + 100254138.

Almost surely, 2^268376745600 is an apocalyptic number.

268376745600 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 268376745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487249868235).

268376745600 is an abundant number, since it is smaller than the sum of its proper divisors (706122990870).

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

268376745600 is a wasteful number, since it uses less digits than its factorization.

268376745600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2825 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 268376745600 in words is "two hundred sixty-eight billion, three hundred seventy-six million, seven hundred forty-five thousand, six hundred".