268640331861000 has 256 divisors, whose sum is σ = 915338341382400. Its totient is φ = 65054819328000.

The previous prime is 268640331860897. The next prime is 268640331861007. The reversal of 268640331861000 is 168133046862.

It is not an unprimeable number, because it can be changed into a prime (268640331861007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26275614 + ... + 35038386.

It is an arithmetic number, because the mean of its divisors is an integer number (3575540396025).

Almost surely, 2^{268640331861000} is an apocalyptic number.

268640331861000 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 268640331861000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457669170691200).

268640331861000 is an abundant number, since it is smaller than the sum of its proper divisors (646698009521400).

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

268640331861000 is a wasteful number, since it uses less digits than its factorization.

268640331861000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8763737 (or 8763723 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 48.

The spelling of 268640331861000 in words is "two hundred sixty-eight trillion, six hundred forty billion, three hundred thirty-one million, eight hundred sixty-one thousand".