272927812968 has 192 divisors, whose sum is σ = 766542216960. Its totient is φ = 87678125568.

The previous prime is 272927812967. The next prime is 272927812979. The reversal of 272927812968 is 869218729272.

272927812968 is a `hidden beast` number, since 2 + 72 + 9 + 278 + 1 + 296 + 8 = 666.

272927812968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (272927812967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62639046 + ... + 62643402.

It is an arithmetic number, because the mean of its divisors is an integer number (3992407380).

Almost surely, 2^272927812968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 272927812968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383271108480).

272927812968 is an abundant number, since it is smaller than the sum of its proper divisors (493614403992).

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

272927812968 is a wasteful number, since it uses less digits than its factorization.

272927812968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4696 (or 4689 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 272927812968 in words is "two hundred seventy-two billion, nine hundred twenty-seven million, eight hundred twelve thousand, nine hundred sixty-eight".