268067932343040 has 288 divisors, whose sum is σ = 863807809588416. Its totient is φ = 70847318917120.

The previous prime is 268067932343009. The next prime is 268067932343063. The reversal of 268067932343040 is 40343239760862.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209952970 + ... + 211225910.

It is an arithmetic number, because the mean of its divisors is an integer number (2999332672182).

Almost surely, 2^{268067932343040} is an apocalyptic number.

268067932343040 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 268067932343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431903904794208).

268067932343040 is an abundant number, since it is smaller than the sum of its proper divisors (595739877245376).

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

268067932343040 is a wasteful number, since it uses less digits than its factorization.

268067932343040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273455 (or 1273441 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 57.

The spelling of 268067932343040 in words is "two hundred sixty-eight trillion, sixty-seven billion, nine hundred thirty-two million, three hundred forty-three thousand, forty".