27667341120 has 112 divisors (see below), whose sum is σ = 88231480128. Its totient is φ = 7345397760.

The previous prime is 27667341113. The next prime is 27667341127. The reversal of 27667341120 is 2114376672.

It is an interprime number because it is at equal distance from previous prime (27667341113) and next prime (27667341127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27667341127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154440 + ... + 281400.

Almost surely, 2^27667341120 is an apocalyptic number.

27667341120 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 27667341120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44115740064).

27667341120 is an abundant number, since it is smaller than the sum of its proper divisors (60564139008).

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

27667341120 is a wasteful number, since it uses less digits than its factorization.

27667341120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127208 (or 127198 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The spelling of 27667341120 in words is "twenty-seven billion, six hundred sixty-seven million, three hundred forty-one thousand, one hundred twenty".