270944616064 has 64 divisors (see below), whose sum is σ = 573649662600. Its totient is φ = 127029084160.

The previous prime is 270944615987. The next prime is 270944616071. The reversal of 270944616064 is 460616449072.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 231946265664 + 38998350400 = 481608^2 + 197480^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 270944615999 and 270944616017.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 353904 + ... + 816784.

Almost surely, 2^270944616064 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 270944616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286824831300).

270944616064 is an abundant number, since it is smaller than the sum of its proper divisors (302705046536).

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

270944616064 is a wasteful number, since it uses less digits than its factorization.

270944616064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463181 (or 463169 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 49.

The spelling of 270944616064 in words is "two hundred seventy billion, nine hundred forty-four million, six hundred sixteen thousand, sixty-four".