27842214420 has 54 divisors (see below), whose sum is σ = 84461508222. Its totient is φ = 7423993536.

The previous prime is 27842214349. The next prime is 27842214431. The reversal of 27842214420 is 2441224872.

27842214420 is a `hidden beast` number, since 2 + 7 + 8 + 4 + 221 + 4 + 420 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2026080144 + 25816134276 = 45012^2 + 160674^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2232442 + ... + 2244878.

Almost surely, 2^27842214420 is an apocalyptic number.

27842214420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27842214420 is an abundant number, since it is smaller than the sum of its proper divisors (56619293802).

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

27842214420 is an equidigital number, since it uses as much as digits as its factorization.

27842214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24889 (or 12447 counting only the distinct ones).

The product of its (nonzero) digits is 57344, while the sum is 36.

The spelling of 27842214420 in words is "twenty-seven billion, eight hundred forty-two million, two hundred fourteen thousand, four hundred twenty".