270609223680 has 832 divisors, whose sum is σ = 1037963520000. Its totient is φ = 66663088128.

The previous prime is 270609223627. The next prime is 270609223721. The reversal of 270609223680 is 86322906072.

270609223680 is a `hidden beast` number, since 2 + 7 + 0 + 609 + 2 + 2 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 451768021 + ... + 451768619.

Almost surely, 2^270609223680 is an apocalyptic number.

270609223680 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 270609223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518981760000).

270609223680 is an abundant number, since it is smaller than the sum of its proper divisors (767354296320).

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

270609223680 is a wasteful number, since it uses less digits than its factorization.

270609223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 699 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 270609223680 in words is "two hundred seventy billion, six hundred nine million, two hundred twenty-three thousand, six hundred eighty".