270664128216 has 192 divisors, whose sum is σ = 756551577600. Its totient is φ = 87385132800.

The previous prime is 270664128211. The next prime is 270664128257. The reversal of 270664128216 is 612821466072.

270664128216 is a `hidden beast` number, since 270 + 66 + 41 + 282 + 1 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270664128211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77530231 + ... + 77533721.

It is an arithmetic number, because the mean of its divisors is an integer number (3940372800).

Almost surely, 2^270664128216 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 270664128216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378275788800).

270664128216 is an abundant number, since it is smaller than the sum of its proper divisors (485887449384).

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

270664128216 is a wasteful number, since it uses less digits than its factorization.

270664128216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3830 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 270664128216 in words is "two hundred seventy billion, six hundred sixty-four million, one hundred twenty-eight thousand, two hundred sixteen".