268034859936672 has 192 divisors, whose sum is σ = 741254248498176. Its totient is φ = 84638390538240.

The previous prime is 268034859936653. The next prime is 268034859936757. The reversal of 268034859936672 is 276639958430862.

It is a super-2 number, since 2×268034859936672² (a number of 30 digits) contains 22 as substring.

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, 321693603 + ... + 322525725.

It is an arithmetic number, because the mean of its divisors is an integer number (3860699210928).

Almost surely, 2^{268034859936672} 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 268034859936672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370627124249088).

268034859936672 is an abundant number, since it is smaller than the sum of its proper divisors (473219388561504).

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

268034859936672 is a wasteful number, since it uses less digits than its factorization.

268034859936672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 833563 (or 833555 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 78.

The spelling of 268034859936672 in words is "two hundred sixty-eight trillion, thirty-four billion, eight hundred fifty-nine million, nine hundred thirty-six thousand, six hundred seventy-two".