27660013940 has 96 divisors (see below), whose sum is σ = 63504677376. Its totient is φ = 10058526720.

The previous prime is 27660013939. The next prime is 27660013949. The reversal of 27660013940 is 4931006672.

It is a junction number, because it is equal to n+sod(n) for n = 27660013894 and 27660013903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27660013949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7615925 + ... + 7619555.

It is an arithmetic number, because the mean of its divisors is an integer number (661507056).

Almost surely, 2^27660013940 is an apocalyptic number.

27660013940 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 27660013940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752338688).

27660013940 is an abundant number, since it is smaller than the sum of its proper divisors (35844663436).

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

27660013940 is a wasteful number, since it uses less digits than its factorization.

27660013940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4087 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The spelling of 27660013940 in words is "twenty-seven billion, six hundred sixty million, thirteen thousand, nine hundred forty".