272384885760 has 704 divisors, whose sum is σ = 988835807232. Its totient is φ = 63492194304.

The previous prime is 272384885749. The next prime is 272384885777. The reversal of 272384885760 is 67588483272.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 272384885694 and 272384885703.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 583265047 + ... + 583265513.

Almost surely, 2^272384885760 is an apocalyptic number.

272384885760 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 272384885760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494417903616).

272384885760 is an abundant number, since it is smaller than the sum of its proper divisors (716450921472).

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

272384885760 is a wasteful number, since it uses less digits than its factorization.

272384885760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 658 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 36126720, while the sum is 60.

The spelling of 272384885760 in words is "two hundred seventy-two billion, three hundred eighty-four million, eight hundred eighty-five thousand, seven hundred sixty".