272867736960 has 1024 divisors, whose sum is σ = 1252161792000. Its totient is φ = 54536011776.

The previous prime is 272867736901. The next prime is 272867736971. The reversal of 272867736960 is 69637768272.

272867736960 is a `hidden beast` number, since 2 + 72 + 86 + 77 + 369 + 60 = 666.

272867736960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 127 ways as a sum of consecutive naturals, for example, 29872554 + ... + 29881686.

It is an arithmetic number, because the mean of its divisors is an integer number (1222814250).

Almost surely, 2^272867736960 is an apocalyptic number.

272867736960 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 272867736960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626080896000).

272867736960 is an abundant number, since it is smaller than the sum of its proper divisors (979294055040).

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

272867736960 is a wasteful number, since it uses less digits than its factorization.

272867736960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9200 (or 9182 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 272867736960 in words is "two hundred seventy-two billion, eight hundred sixty-seven million, seven hundred thirty-six thousand, nine hundred sixty".