273945047376 has 960 divisors, whose sum is σ = 1010070351360. Its totient is φ = 62163763200.

The previous prime is 273945047357. The next prime is 273945047377. The reversal of 273945047376 is 673740549372.

273945047376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273945047377) 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 191 ways as a sum of consecutive naturals, for example, 934965886 + ... + 934966178.

It is an arithmetic number, because the mean of its divisors is an integer number (1052156616).

Almost surely, 2^273945047376 is an apocalyptic number.

273945047376 is a gapful number since it is divisible by the number (26) 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 273945047376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505035175680).

273945047376 is an abundant number, since it is smaller than the sum of its proper divisors (736125303984).

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

273945047376 is a wasteful number, since it uses less digits than its factorization.

273945047376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 57.

The spelling of 273945047376 in words is "two hundred seventy-three billion, nine hundred forty-five million, forty-seven thousand, three hundred seventy-six".