27781924032 has 168 divisors, whose sum is σ = 84143545200. Its totient is φ = 8739698688.

The previous prime is 27781924021. The next prime is 27781924073. The reversal of 27781924032 is 23042918772.

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, 2939218 + ... + 2948654.

Almost surely, 2^27781924032 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 27781924032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42071772600).

27781924032 is an abundant number, since it is smaller than the sum of its proper divisors (56361621168).

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

27781924032 is a wasteful number, since it uses less digits than its factorization.

27781924032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743 (or 9730 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

It can be divided in two parts, 2778192 and 4032, that added together give a square (2782224 = 1668²).

The spelling of 27781924032 in words is "twenty-seven billion, seven hundred eighty-one million, nine hundred twenty-four thousand, thirty-two".