273507342336 has 240 divisors, whose sum is σ = 820182963600. Its totient is φ = 90807975936.

The previous prime is 273507342323. The next prime is 273507342341. The reversal of 273507342336 is 633243705372.

It is a happy number.

273507342336 is a `hidden beast` number, since 2 + 73 + 507 + 3 + 42 + 3 + 36 = 666.

273507342336 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 273507342291 and 273507342300.

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 19 ways as a sum of consecutive naturals, for example, 43625410 + ... + 43631678.

It is an arithmetic number, because the mean of its divisors is an integer number (3417429015).

Almost surely, 2^273507342336 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 273507342336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410091481800).

273507342336 is an abundant number, since it is smaller than the sum of its proper divisors (546675621264).

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

273507342336 is an equidigital number, since it uses as much as digits as its factorization.

273507342336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6566 (or 6537 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 45.

The spelling of 273507342336 in words is "two hundred seventy-three billion, five hundred seven million, three hundred forty-two thousand, three hundred thirty-six".