270681681600 has 1008 divisors, whose sum is σ = 1078584299520. Its totient is φ = 63833702400.

The previous prime is 270681681587. The next prime is 270681681629. The reversal of 270681681600 is 6186186072.

It is a happy number.

270681681600 is a `hidden beast` number, since 27 + 0 + 6 + 8 + 16 + 8 + 1 + 600 = 666.

270681681600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1213819089 + ... + 1213819311.

Almost surely, 2^270681681600 is an apocalyptic number.

270681681600 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 270681681600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539292149760).

270681681600 is an abundant number, since it is smaller than the sum of its proper divisors (807902617920).

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

270681681600 is a wasteful number, since it uses less digits than its factorization.

270681681600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 270681681600 in words is "two hundred seventy billion, six hundred eighty-one million, six hundred eighty-one thousand, six hundred".