270068641040 has 240 divisors, whose sum is σ = 717218938800. Its totient is φ = 94390517760.

The previous prime is 270068641027. The next prime is 270068641043. The reversal of 270068641040 is 40146860072.

It can be written as a sum of positive squares in 8 ways, for example, as 9740110864 + 260328530176 = 98692^2 + 510224^2 .

It is a junction number, because it is equal to n+sod(n) for n = 270068640985 and 270068641003.

It is not an unprimeable number, because it can be changed into a prime (270068641043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65405696 + ... + 65409824.

It is an arithmetic number, because the mean of its divisors is an integer number (2988412245).

Almost surely, 2^270068641040 is an apocalyptic number.

270068641040 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 270068641040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358609469400).

270068641040 is an abundant number, since it is smaller than the sum of its proper divisors (447150297760).

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

270068641040 is a wasteful number, since it uses less digits than its factorization.

270068641040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The spelling of 270068641040 in words is "two hundred seventy billion, sixty-eight million, six hundred forty-one thousand, forty".