270876978708480 has 480 divisors, whose sum is σ = 988464054006000. Its totient is φ = 68431965585408.

The previous prime is 270876978708421. The next prime is 270876978708509. The reversal of 270876978708480 is 84807879678072.

270876978708480 is a `hidden beast` number, since 2 + 7 + 0 + 8 + 7 + 69 + 7 + 8 + 70 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a self number, because there is not a number n which added to its sum of digits gives 270876978708480.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 447964102 + ... + 448568378.

Almost surely, 2^{270876978708480} is an apocalyptic number.

270876978708480 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 270876978708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494232027003000).

270876978708480 is an abundant number, since it is smaller than the sum of its proper divisors (717587075297520).

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

270876978708480 is an frugal number, since it uses more digits than its factorization.

270876978708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604345 (or 604306 counting only the distinct ones).

The product of its (nonzero) digits is 4248502272, while the sum is 81.

The spelling of 270876978708480 in words is "two hundred seventy trillion, eight hundred seventy-six billion, nine hundred seventy-eight million, seven hundred eight thousand, four hundred eighty".