27740666160 has 280 divisors, whose sum is σ = 100910621664. Its totient is φ = 7075537920.

The previous prime is 27740666117. The next prime is 27740666209. The reversal of 27740666160 is 6166604772.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1331020 + ... + 1351700.

Almost surely, 2^27740666160 is an apocalyptic number.

27740666160 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 27740666160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50455310832).

27740666160 is an abundant number, since it is smaller than the sum of its proper divisors (73169955504).

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

27740666160 is a wasteful number, since it uses less digits than its factorization.

27740666160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20735 (or 20714 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 27740666160 in words is "twenty-seven billion, seven hundred forty million, six hundred sixty-six thousand, one hundred sixty".