27468997632 has 264 divisors, whose sum is σ = 81991684320. Its totient is φ = 8851783680.

The previous prime is 27468997603. The next prime is 27468997639. The reversal of 27468997632 is 23679986472.

27468997632 is a `hidden beast` number, since 27 + 468 + 9 + 97 + 63 + 2 = 666.

Its product of digits (54867456) is a multiple of the sum of its prime factors (729).

It is a self number, because there is not a number n which added to its sum of digits gives 27468997632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27468997639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52521723 + ... + 52522245.

Almost surely, 2^27468997632 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 27468997632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40995842160).

27468997632 is an abundant number, since it is smaller than the sum of its proper divisors (54522686688).

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

27468997632 is a wasteful number, since it uses less digits than its factorization.

27468997632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 708 counting only the distinct ones).

The product of its digits is 54867456, while the sum is 63.

The spelling of 27468997632 in words is "twenty-seven billion, four hundred sixty-eight million, nine hundred ninety-seven thousand, six hundred thirty-two".