273506901804 has 384 divisors, whose sum is σ = 783227289600. Its totient is φ = 82301184000.

The previous prime is 273506901797. The next prime is 273506901847. The reversal of 273506901804 is 408109605372.

273506901804 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 273506901804.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 505557774 + ... + 505558314.

It is an arithmetic number, because the mean of its divisors is an integer number (2039654400).

It is a 1-persistent number, because it is pandigital, but 2⋅273506901804 = 547013803608 is not.

Almost surely, 2^273506901804 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 273506901804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391613644800).

273506901804 is an abundant number, since it is smaller than the sum of its proper divisors (509720387796).

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

273506901804 is a wasteful number, since it uses less digits than its factorization.

273506901804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 273506901804 in words is "two hundred seventy-three billion, five hundred six million, nine hundred one thousand, eight hundred four".