27664634448 has 360 divisors, whose sum is σ = 92161973280. Its totient is φ = 7661122560.

The previous prime is 27664634447. The next prime is 27664634471. The reversal of 27664634448 is 84443646672.

It is a junction number, because it is equal to n+sod(n) for n = 27664634394 and 27664634403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27664634447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25310190 + ... + 25311282.

Almost surely, 2^27664634448 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 27664634448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46080986640).

27664634448 is an abundant number, since it is smaller than the sum of its proper divisors (64497338832).

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

27664634448 is a wasteful number, since it uses less digits than its factorization.

27664634448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1195 (or 1157 counting only the distinct ones).

The product of its digits is 18579456, while the sum is 54.

The spelling of 27664634448 in words is "twenty-seven billion, six hundred sixty-four million, six hundred thirty-four thousand, four hundred forty-eight".