268061821705440 has 2880 divisors, whose sum is σ = 1167812766489600. Its totient is φ = 57773724180480.

The previous prime is 268061821705411. The next prime is 268061821705453. The reversal of 268061821705440 is 44507128160862.

268061821705440 is a `hidden beast` number, since 2 + 6 + 8 + 0 + 6 + 1 + 8 + 21 + 70 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 809854446075 + ... + 809854446405.

It is an arithmetic number, because the mean of its divisors is an integer number (405490543920).

Almost surely, 2^{268061821705440} is an apocalyptic number.

268061821705440 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 268061821705440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583906383244800).

268061821705440 is an abundant number, since it is smaller than the sum of its proper divisors (899750944784160).

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

268061821705440 is an equidigital number, since it uses as much as digits as its factorization.

268061821705440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 268061821705440 in words is "two hundred sixty-eight trillion, sixty-one billion, eight hundred twenty-one million, seven hundred five thousand, four hundred forty".