27348632064 has 240 divisors, whose sum is σ = 86092406400. Its totient is φ = 8307007488.

The previous prime is 27348632063. The next prime is 27348632099. The reversal of 27348632064 is 46023684372.

27348632064 is a `hidden beast` number, since 2 + 7 + 3 + 4 + 8 + 632 + 0 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (27348632063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4729527 + ... + 4735305.

It is an arithmetic number, because the mean of its divisors is an integer number (358718360).

Almost surely, 2^27348632064 is an apocalyptic number.

27348632064 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 27348632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43046203200).

27348632064 is an abundant number, since it is smaller than the sum of its proper divisors (58743774336).

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

27348632064 is a wasteful number, since it uses less digits than its factorization.

27348632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5895 (or 5876 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 27348632064 in words is "twenty-seven billion, three hundred forty-eight million, six hundred thirty-two thousand, sixty-four".