273949708032 has 1296 divisors, whose sum is σ = 1099238999040. Its totient is φ = 64486195200.

The previous prime is 273949707991. The next prime is 273949708141. The reversal of 273949708032 is 230807949372.

273949708032 is a `hidden beast` number, since 2 + 73 + 9 + 497 + 0 + 80 + 3 + 2 = 666.

273949708032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 273949708032.

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 143 ways as a sum of consecutive naturals, for example, 1146232969 + ... + 1146233207.

It is an arithmetic number, because the mean of its divisors is an integer number (848178240).

Almost surely, 2^273949708032 is an apocalyptic number.

273949708032 is a gapful number since it is divisible by the number (22) 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 273949708032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549619499520).

273949708032 is an abundant number, since it is smaller than the sum of its proper divisors (825289291008).

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

273949708032 is a wasteful number, since it uses less digits than its factorization.

273949708032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 273949708032 in words is "two hundred seventy-three billion, nine hundred forty-nine million, seven hundred eight thousand, thirty-two".