268418302951680 has 2016 divisors, whose sum is σ = 1162496367648000. Its totient is φ = 57982171742208.

The previous prime is 268418302951657. The next prime is 268418302951691. The reversal of 268418302951680 is 86159203814862.

268418302951680 is a `hidden beast` number, since 2 + 6 + 8 + 4 + 1 + 8 + 30 + 2 + 9 + 516 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 55723124632 + ... + 55723129448.

It is an arithmetic number, because the mean of its divisors is an integer number (576635103000).

Almost surely, 2^{268418302951680} is an apocalyptic number.

268418302951680 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 268418302951680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581248183824000).

268418302951680 is an abundant number, since it is smaller than the sum of its proper divisors (894078064696320).

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

268418302951680 is an equidigital number, since it uses as much as digits as its factorization.

268418302951680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5331 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 268418302951680 in words is "two hundred sixty-eight trillion, four hundred eighteen billion, three hundred two million, nine hundred fifty-one thousand, six hundred eighty".