273282474003840 has 1536 divisors, whose sum is σ = 1108793691233280. Its totient is φ = 60735578112000.

The previous prime is 273282474003821. The next prime is 273282474003853. The reversal of 273282474003840 is 48300474282372.

273282474003840 is a `hidden beast` number, since 2 + 7 + 328 + 247 + 4 + 0 + 0 + 38 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 173954470255 + ... + 173954471825.

It is an arithmetic number, because the mean of its divisors is an integer number (721870892730).

Almost surely, 2^{273282474003840} is an apocalyptic number.

273282474003840 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 273282474003840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554396845616640).

273282474003840 is an abundant number, since it is smaller than the sum of its proper divisors (835511217229440).

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

273282474003840 is a wasteful number, since it uses less digits than its factorization.

273282474003840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 54.

The spelling of 273282474003840 in words is "two hundred seventy-three trillion, two hundred eighty-two billion, four hundred seventy-four million, three thousand, eight hundred forty".