273645016704 has 96 divisors (see below), whose sum is σ = 787621975140. Its totient is φ = 91194163200.

The previous prime is 273645016699. The next prime is 273645016751. The reversal of 273645016704 is 407610546372.

273645016704 is a `hidden beast` number, since 2 + 7 + 36 + 450 + 167 + 0 + 4 = 666.

273645016704 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 270558103104 + 3086913600 = 520152^2 + 55560^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 273645016704.

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 11 ways as a sum of consecutive naturals, for example, 5506014 + ... + 5555490.

Almost surely, 2^273645016704 is an apocalyptic number.

273645016704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

273645016704 is an abundant number, since it is smaller than the sum of its proper divisors (513976958436).

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

273645016704 is a wasteful number, since it uses less digits than its factorization.

273645016704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54298 (or 54283 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 273645016704 in words is "two hundred seventy-three billion, six hundred forty-five million, sixteen thousand, seven hundred four".