273716468480 has 576 divisors, whose sum is σ = 854249410560. Its totient is φ = 81600970752.

The previous prime is 273716468453. The next prime is 273716468489. The reversal of 273716468480 is 84864617372.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (273716468489) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 745821257 + ... + 745821623.

Almost surely, 2^273716468480 is an apocalyptic number.

273716468480 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 273716468480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427124705280).

273716468480 is an abundant number, since it is smaller than the sum of its proper divisors (580532942080).

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

273716468480 is a wasteful number, since it uses less digits than its factorization.

273716468480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 56.

The spelling of 273716468480 in words is "two hundred seventy-three billion, seven hundred sixteen million, four hundred sixty-eight thousand, four hundred eighty".