270857940768 has 384 divisors, whose sum is σ = 851751936000. Its totient is φ = 83546588160.

The previous prime is 270857940763. The next prime is 270857940803. The reversal of 270857940768 is 867049758072.

270857940768 is a `hidden beast` number, since 27 + 0 + 85 + 79 + 407 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (270857940763) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 83109123 + ... + 83112381.

It is an arithmetic number, because the mean of its divisors is an integer number (2218104000).

Almost surely, 2^270857940768 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 270857940768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425875968000).

270857940768 is an abundant number, since it is smaller than the sum of its proper divisors (580893995232).

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

270857940768 is a wasteful number, since it uses less digits than its factorization.

270857940768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3445 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 270857940768 in words is "two hundred seventy billion, eight hundred fifty-seven million, nine hundred forty thousand, seven hundred sixty-eight".