273390046560 has 648 divisors, whose sum is σ = 1004729570208. Its totient is φ = 70291929600.

The previous prime is 273390046543. The next prime is 273390046583. The reversal of 273390046560 is 65640093372.

273390046560 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 (648).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 107 ways as a sum of consecutive naturals, for example, 1008819225 + ... + 1008819495.

It is an arithmetic number, because the mean of its divisors is an integer number (1550508596).

Almost surely, 2^273390046560 is an apocalyptic number.

273390046560 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 273390046560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502364785104).

273390046560 is an abundant number, since it is smaller than the sum of its proper divisors (731339523648).

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

273390046560 is an frugal number, since it uses more digits than its factorization.

273390046560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 273390046560 in words is "two hundred seventy-three billion, three hundred ninety million, forty-six thousand, five hundred sixty".