268600138632 has 192 divisors, whose sum is σ = 847624901760. Its totient is φ = 75245414400.

The previous prime is 268600138591. The next prime is 268600138643. The reversal of 268600138632 is 236831006862.

It is a happy number.

268600138632 is a `hidden beast` number, since 2 + 6 + 8 + 6 + 0 + 0 + 1 + 3 + 8 + 632 = 666.

268600138632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 63332032 + ... + 63336272.

It is an arithmetic number, because the mean of its divisors is an integer number (4414713030).

Almost surely, 2^268600138632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 268600138632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (423812450880).

268600138632 is an abundant number, since it is smaller than the sum of its proper divisors (579024763128).

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

268600138632 is a wasteful number, since it uses less digits than its factorization.

268600138632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6684 (or 6677 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 268600138632 in words is "two hundred sixty-eight billion, six hundred million, one hundred thirty-eight thousand, six hundred thirty-two".