27667911040 has 256 divisors, whose sum is σ = 83605271040. Its totient is φ = 8504524800.

The previous prime is 27667911031. The next prime is 27667911041. The reversal of 27667911040 is 4011976672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27667911041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3593595 + ... + 3601285.

It is an arithmetic number, because the mean of its divisors is an integer number (326583090).

Almost surely, 2^27667911040 is an apocalyptic number.

27667911040 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 27667911040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41802635520).

27667911040 is an abundant number, since it is smaller than the sum of its proper divisors (55937360000).

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

27667911040 is a wasteful number, since it uses less digits than its factorization.

27667911040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7801 (or 7789 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 27667911040 in words is "twenty-seven billion, six hundred sixty-seven million, nine hundred eleven thousand, forty".