27632941056 has 288 divisors, whose sum is σ = 92398924800. Its totient is φ = 7792312320.

The previous prime is 27632941033. The next prime is 27632941067. The reversal of 27632941056 is 65014923672.

27632941056 is a `hidden beast` number, since 2 + 7 + 632 + 9 + 4 + 1 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10191541 + ... + 10194251.

It is an arithmetic number, because the mean of its divisors is an integer number (320829600).

Almost surely, 2^27632941056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27632941056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46199462400).

27632941056 is an abundant number, since it is smaller than the sum of its proper divisors (64765983744).

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

27632941056 is a wasteful number, since it uses less digits than its factorization.

27632941056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2825 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 27632941056 in words is "twenty-seven billion, six hundred thirty-two million, nine hundred forty-one thousand, fifty-six".