27632989440 has 324 divisors, whose sum is σ = 111218886324. Its totient is φ = 6315982848.

The previous prime is 27632989421. The next prime is 27632989451. The reversal of 27632989440 is 4498923672.

27632989440 is a `hidden beast` number, since 276 + 329 + 8 + 9 + 4 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11416495104 + 16216494336 = 106848^2 + 127344^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 540004 + ... + 588956.

Almost surely, 2^27632989440 is an apocalyptic number.

27632989440 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 27632989440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55609443162).

27632989440 is an abundant number, since it is smaller than the sum of its proper divisors (83585896884).

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

27632989440 is a wasteful number, since it uses less digits than its factorization.

27632989440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48994 (or 48970 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 27632989440 in words is "twenty-seven billion, six hundred thirty-two million, nine hundred eighty-nine thousand, four hundred forty".