270240841728 has 760 divisors, whose sum is σ = 959193552240. Its totient is φ = 74742497280.

The previous prime is 270240841679. The next prime is 270240841753. The reversal of 270240841728 is 827148042072.

270240841728 is a `hidden beast` number, since 2 + 70 + 2 + 408 + 4 + 172 + 8 = 666.

It is a super-2 number, since 2×270240841728² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3036413908 + ... + 3036413996.

Almost surely, 2^270240841728 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 270240841728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479596776120).

270240841728 is an abundant number, since it is smaller than the sum of its proper divisors (688952710512).

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

270240841728 is an frugal number, since it uses more digits than its factorization.

270240841728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 401408, while the sum is 45.

The spelling of 270240841728 in words is "two hundred seventy billion, two hundred forty million, eight hundred forty-one thousand, seven hundred twenty-eight".