273303326400 has 672 divisors, whose sum is σ = 1033396358400. Its totient is φ = 62672486400.

The previous prime is 273303326389. The next prime is 273303326407. The reversal of 273303326400 is 4623303372.

273303326400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (273303326407) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 72319711 + ... + 72323489.

It is an arithmetic number, because the mean of its divisors is an integer number (1537792200).

Almost surely, 2^273303326400 is an apocalyptic number.

273303326400 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 273303326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516698179200).

273303326400 is an abundant number, since it is smaller than the sum of its proper divisors (760093032000).

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

273303326400 is a wasteful number, since it uses less digits than its factorization.

273303326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3882 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 33.

Adding to 273303326400 its reverse (4623303372), we get a palindrome (277926629772).

The spelling of 273303326400 in words is "two hundred seventy-three billion, three hundred three million, three hundred twenty-six thousand, four hundred".