27776633472 has 384 divisors, whose sum is σ = 98572930560. Its totient is φ = 7326498816.

The previous prime is 27776633453. The next prime is 27776633509. The reversal of 27776633472 is 27433667772.

It is a happy number.

27776633472 is a `hidden beast` number, since 2 + 77 + 76 + 6 + 33 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7263753 + ... + 7267575.

It is an arithmetic number, because the mean of its divisors is an integer number (256700340).

Almost surely, 2^27776633472 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 27776633472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49286465280).

27776633472 is an abundant number, since it is smaller than the sum of its proper divisors (70796297088).

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

27776633472 is a wasteful number, since it uses less digits than its factorization.

27776633472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3905 counting only the distinct ones).

The product of its digits is 12446784, while the sum is 54.

The spelling of 27776633472 in words is "twenty-seven billion, seven hundred seventy-six million, six hundred thirty-three thousand, four hundred seventy-two".