27820467936 has 144 divisors (see below), whose sum is σ = 79703114400. Its totient is φ = 9204793344.

The previous prime is 27820467929. The next prime is 27820467947. The reversal of 27820467936 is 63976402872.

27820467936 is a `hidden beast` number, since 2 + 78 + 20 + 467 + 93 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30272085 + ... + 30273003.

It is an arithmetic number, because the mean of its divisors is an integer number (553493850).

Almost surely, 2^27820467936 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 27820467936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39851557200).

27820467936 is an abundant number, since it is smaller than the sum of its proper divisors (51882646464).

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

27820467936 is a wasteful number, since it uses less digits than its factorization.

27820467936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1601 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 27820467936 in words is "twenty-seven billion, eight hundred twenty million, four hundred sixty-seven thousand, nine hundred thirty-six".