27819414648 has 144 divisors (see below), whose sum is σ = 77976782520. Its totient is φ = 8958014208.

The previous prime is 27819414629. The next prime is 27819414697. The reversal of 27819414648 is 84641491872.

27819414648 is a `hidden beast` number, since 278 + 194 + 146 + 48 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 27819414594 and 27819414603.

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 35 ways as a sum of consecutive naturals, for example, 13549590 + ... + 13551642.

Almost surely, 2^27819414648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27819414648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38988391260).

27819414648 is an abundant number, since it is smaller than the sum of its proper divisors (50157367872).

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

27819414648 is a wasteful number, since it uses less digits than its factorization.

27819414648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2238 (or 2178 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 27819414648 in words is "twenty-seven billion, eight hundred nineteen million, four hundred fourteen thousand, six hundred forty-eight".