27014760864 has 432 divisors, whose sum is σ = 97686231552. Its totient is φ = 6928975872.

The previous prime is 27014760863. The next prime is 27014760947. The reversal of 27014760864 is 46806741072.

27014760864 is a `hidden beast` number, since 27 + 0 + 14 + 7 + 608 + 6 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (27014760863) 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 71 ways as a sum of consecutive naturals, for example, 12604977 + ... + 12607119.

It is an arithmetic number, because the mean of its divisors is an integer number (226125536).

Almost surely, 2^27014760864 is an apocalyptic number.

27014760864 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 27014760864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48843115776).

27014760864 is an abundant number, since it is smaller than the sum of its proper divisors (70671470688).

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

27014760864 is a wasteful number, since it uses less digits than its factorization.

27014760864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2229 (or 2205 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 27014760864 in words is "twenty-seven billion, fourteen million, seven hundred sixty thousand, eight hundred sixty-four".