27336267648 has 192 divisors, whose sum is σ = 86912935200. Its totient is φ = 8203075584.

The previous prime is 27336267589. The next prime is 27336267653. The reversal of 27336267648 is 84676263372.

27336267648 is a `hidden beast` number, since 2 + 7 + 3 + 3 + 626 + 7 + 6 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 27336267594 and 27336267603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 420088 + ... + 480776.

Almost surely, 2^27336267648 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 27336267648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43456467600).

27336267648 is an abundant number, since it is smaller than the sum of its proper divisors (59576667552).

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

27336267648 is a wasteful number, since it uses less digits than its factorization.

27336267648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60749 (or 60734 counting only the distinct ones).

The product of its digits is 12192768, while the sum is 54.

The spelling of 27336267648 in words is "twenty-seven billion, three hundred thirty-six million, two hundred sixty-seven thousand, six hundred forty-eight".