273689633280 has 640 divisors, whose sum is σ = 1030948300800. Its totient is φ = 61909155840.

The previous prime is 273689633209. The next prime is 273689633323. The reversal of 273689633280 is 82336986372.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 273689633280.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 281863195 + ... + 281864165.

It is an arithmetic number, because the mean of its divisors is an integer number (1610856720).

Almost surely, 2^273689633280 is an apocalyptic number.

273689633280 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 273689633280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515474150400).

273689633280 is an abundant number, since it is smaller than the sum of its proper divisors (757258667520).

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

273689633280 is an equidigital number, since it uses as much as digits as its factorization.

273689633280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 57.

The spelling of 273689633280 in words is "two hundred seventy-three billion, six hundred eighty-nine million, six hundred thirty-three thousand, two hundred eighty".