272685968640 has 864 divisors, whose sum is σ = 1043955634176. Its totient is φ = 67990855680.

The previous prime is 272685968627. The next prime is 272685968689. The reversal of 272685968640 is 46869586272.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 336233835 + ... + 336234645.

It is an arithmetic number, because the mean of its divisors is an integer number (1208281984).

Almost surely, 2^272685968640 is an apocalyptic number.

272685968640 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 272685968640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521977817088).

272685968640 is an abundant number, since it is smaller than the sum of its proper divisors (771269665536).

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

272685968640 is an equidigital number, since it uses as much as digits as its factorization.

272685968640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 272685968640 in words is "two hundred seventy-two billion, six hundred eighty-five million, nine hundred sixty-eight thousand, six hundred forty".