27688555440 has 720 divisors, whose sum is σ = 118228245408. Its totient is φ = 5754986496.

The previous prime is 27688555421. The next prime is 27688555441. The reversal of 27688555440 is 4455588672.

27688555440 is a `hidden beast` number, since 2 + 7 + 6 + 8 + 85 + 554 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×27688555440² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (27688555441) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 33480307 + ... + 33481133.

Almost surely, 2^27688555440 is an apocalyptic number.

27688555440 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 27688555440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59114122704).

27688555440 is an abundant number, since it is smaller than the sum of its proper divisors (90539689968).

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

27688555440 is a wasteful number, since it uses less digits than its factorization.

27688555440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 27688555440 in words is "twenty-seven billion, six hundred eighty-eight million, five hundred fifty-five thousand, four hundred forty".