27384545664 has 256 divisors, whose sum is σ = 92731545600. Its totient is φ = 7793418240.

The previous prime is 27384545647. The next prime is 27384545689. The reversal of 27384545664 is 46654548372.

27384545664 is a `hidden beast` number, since 2 + 7 + 38 + 4 + 545 + 6 + 64 = 666.

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

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 27384545664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6553944 + ... + 6558120.

It is an arithmetic number, because the mean of its divisors is an integer number (362232600).

Almost surely, 2^27384545664 is an apocalyptic number.

27384545664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27384545664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46365772800).

27384545664 is an abundant number, since it is smaller than the sum of its proper divisors (65346999936).

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

27384545664 is a wasteful number, since it uses less digits than its factorization.

27384545664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4478 (or 4460 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 54.

The spelling of 27384545664 in words is "twenty-seven billion, three hundred eighty-four million, five hundred forty-five thousand, six hundred sixty-four".