270078147836640 has 960 divisors, whose sum is σ = 1120639603184640. Its totient is φ = 60390973992960.

The previous prime is 270078147836639. The next prime is 270078147836657. The reversal of 270078147836640 is 46638741870072.

270078147836640 is a `hidden beast` number, since 2 + 7 + 0 + 0 + 78 + 1 + 478 + 36 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2459247651 + ... + 2459357469.

It is an arithmetic number, because the mean of its divisors is an integer number (1167332919984).

Almost surely, 2^{270078147836640} is an apocalyptic number.

270078147836640 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 270078147836640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560319801592320).

270078147836640 is an abundant number, since it is smaller than the sum of its proper divisors (850561455348000).

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

270078147836640 is a wasteful number, since it uses less digits than its factorization.

270078147836640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111197 (or 111180 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 270078147836640 in words is "two hundred seventy trillion, seventy-eight billion, one hundred forty-seven million, eight hundred thirty-six thousand, six hundred forty".