273318907680 has 1152 divisors, whose sum is σ = 1205438008320. Its totient is φ = 54840360960.

The previous prime is 273318907637. The next prime is 273318907717. The reversal of 273318907680 is 86709813372.

273318907680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 269810854 + ... + 269811866.

It is an arithmetic number, because the mean of its divisors is an integer number (1046387160).

Almost surely, 2^273318907680 is an apocalyptic number.

273318907680 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 273318907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602719004160).

273318907680 is an abundant number, since it is smaller than the sum of its proper divisors (932119100640).

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

273318907680 is a wasteful number, since it uses less digits than its factorization.

273318907680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 273318907680 in words is "two hundred seventy-three billion, three hundred eighteen million, nine hundred seven thousand, six hundred eighty".