27282234672 has 400 divisors, whose sum is σ = 103635628800. Its totient is φ = 6712865280.

The previous prime is 27282234631. The next prime is 27282234673. The reversal of 27282234672 is 27643228272.

27282234672 is a `hidden beast` number, since 27 + 282 + 2 + 346 + 7 + 2 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (27282234673) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1888854 + ... + 1903242.

It is an arithmetic number, because the mean of its divisors is an integer number (259089072).

Almost surely, 2^27282234672 is an apocalyptic number.

27282234672 is a gapful number since it is divisible by the number (22) 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 27282234672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51817814400).

27282234672 is an abundant number, since it is smaller than the sum of its proper divisors (76353394128).

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

27282234672 is a wasteful number, since it uses less digits than its factorization.

27282234672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14446 (or 14431 counting only the distinct ones).

The product of its digits is 903168, while the sum is 45.

The spelling of 27282234672 in words is "twenty-seven billion, two hundred eighty-two million, two hundred thirty-four thousand, six hundred seventy-two".