27747685440 has 336 divisors, whose sum is σ = 97395158016. Its totient is φ = 7249305600.

The previous prime is 27747685439. The next prime is 27747685517. The reversal of 27747685440 is 4458674772.

27747685440 is a `hidden beast` number, since 27 + 7 + 4 + 76 + 8 + 544 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40155495 + ... + 40156185.

Almost surely, 2^27747685440 is an apocalyptic number.

27747685440 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 27747685440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48697579008).

27747685440 is an abundant number, since it is smaller than the sum of its proper divisors (69647472576).

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

27747685440 is a wasteful number, since it uses less digits than its factorization.

27747685440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 10536960, while the sum is 54.

The spelling of 27747685440 in words is "twenty-seven billion, seven hundred forty-seven million, six hundred eighty-five thousand, four hundred forty".