270865709664 has 144 divisors (see below), whose sum is σ = 781906829760. Its totient is φ = 82041696000.

The previous prime is 270865709641. The next prime is 270865709669. The reversal of 270865709664 is 466907568072.

270865709664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 270865709598 and 270865709607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (270865709669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33113127 + ... + 33121305.

It is an arithmetic number, because the mean of its divisors is an integer number (5429908540).

Almost surely, 2^270865709664 is an apocalyptic number.

270865709664 is a gapful number since it is divisible by the number (24) 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 270865709664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390953414880).

270865709664 is an abundant number, since it is smaller than the sum of its proper divisors (511041120096).

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

270865709664 is a wasteful number, since it uses less digits than its factorization.

270865709664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11065 (or 11046 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 60.

The spelling of 270865709664 in words is "two hundred seventy billion, eight hundred sixty-five million, seven hundred nine thousand, six hundred sixty-four".