273734052480 has 1024 divisors, whose sum is σ = 1134054604800. Its totient is φ = 61117120512.

The previous prime is 273734052469. The next prime is 273734052481. The reversal of 273734052480 is 84250437372.

273734052480 is a `hidden beast` number, since 2 + 7 + 3 + 7 + 3 + 40 + 524 + 80 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (273734052481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1582277674 + ... + 1582277846.

It is an arithmetic number, because the mean of its divisors is an integer number (1107475200).

Almost surely, 2^273734052480 is an apocalyptic number.

273734052480 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 273734052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567027302400).

273734052480 is an abundant number, since it is smaller than the sum of its proper divisors (860320552320).

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

273734052480 is a wasteful number, since it uses less digits than its factorization.

273734052480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 273734052480 in words is "two hundred seventy-three billion, seven hundred thirty-four million, fifty-two thousand, four hundred eighty".