27767876448 has 192 divisors, whose sum is σ = 82685256192. Its totient is φ = 8095211520.

The previous prime is 27767876431. The next prime is 27767876491. The reversal of 27767876448 is 84467876772.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3066808 + ... + 3075848.

It is an arithmetic number, because the mean of its divisors is an integer number (430652376).

Almost surely, 2^27767876448 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 27767876448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41342628096).

27767876448 is an abundant number, since it is smaller than the sum of its proper divisors (54917379744).

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

27767876448 is a wasteful number, since it uses less digits than its factorization.

27767876448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9197 (or 9189 counting only the distinct ones).

The product of its digits is 177020928, while the sum is 66.

The spelling of 27767876448 in words is "twenty-seven billion, seven hundred sixty-seven million, eight hundred seventy-six thousand, four hundred forty-eight".