27634908672 has 420 divisors, whose sum is σ = 96365691576. Its totient is φ = 7890462720.

The previous prime is 27634908661. The next prime is 27634908731. The reversal of 27634908672 is 27680943672.

27634908672 is a `hidden beast` number, since 2 + 7 + 6 + 3 + 490 + 86 + 72 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 18288397 + ... + 18289907.

Almost surely, 2^27634908672 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 27634908672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48182845788).

27634908672 is an abundant number, since it is smaller than the sum of its proper divisors (68730782904).

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

27634908672 is an frugal number, since it uses more digits than its factorization.

27634908672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1561 (or 1523 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 27634908672 in words is "twenty-seven billion, six hundred thirty-four million, nine hundred eight thousand, six hundred seventy-two".