27726045984 has 960 divisors, whose sum is σ = 106715169792. Its totient is φ = 6867763200.

The previous prime is 27726045973. The next prime is 27726046027. The reversal of 27726045984 is 48954062772.

27726045984 is a `hidden beast` number, since 27 + 7 + 2 + 604 + 5 + 9 + 8 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 27726045984.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 454525314 + ... + 454525374.

Almost surely, 2^27726045984 is an apocalyptic number.

27726045984 is a gapful number since it is divisible by the number (24) 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 27726045984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53357584896).

27726045984 is an abundant number, since it is smaller than the sum of its proper divisors (78989123808).

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

27726045984 is a wasteful number, since it uses less digits than its factorization.

27726045984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 27726045984 in words is "twenty-seven billion, seven hundred twenty-six million, forty-five thousand, nine hundred eighty-four".