270242065600 has 336 divisors, whose sum is σ = 735473426688. Its totient is φ = 97102172160.

The previous prime is 270242065591. The next prime is 270242065627. The reversal of 270242065600 is 6560242072.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417684477 + ... + 417685123.

It is an arithmetic number, because the mean of its divisors is an integer number (2188909008).

Almost surely, 2^270242065600 is an apocalyptic number.

270242065600 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 270242065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367736713344).

270242065600 is an abundant number, since it is smaller than the sum of its proper divisors (465231361088).

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

270242065600 is a wasteful number, since it uses less digits than its factorization.

270242065600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 34.

The spelling of 270242065600 in words is "two hundred seventy billion, two hundred forty-two million, sixty-five thousand, six hundred".