273398966400 has 384 divisors, whose sum is σ = 1031302742400. Its totient is φ = 62360616960.

The previous prime is 273398966369. The next prime is 273398966413. The reversal of 273398966400 is 4669893372.

273398966400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

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 47 ways as a sum of consecutive naturals, for example, 34200804 + ... + 34208796.

It is an arithmetic number, because the mean of its divisors is an integer number (2685684225).

Almost surely, 2^273398966400 is an apocalyptic number.

273398966400 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 273398966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515651371200).

273398966400 is an abundant number, since it is smaller than the sum of its proper divisors (757903776000).

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

273398966400 is a wasteful number, since it uses less digits than its factorization.

273398966400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8536 (or 8519 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 57.

The spelling of 273398966400 in words is "two hundred seventy-three billion, three hundred ninety-eight million, nine hundred sixty-six thousand, four hundred".