12427136064 has 84 divisors (see below), whose sum is σ = 40708746624. Its totient is φ = 3550609152.

The previous prime is 12427136063. The next prime is 12427136069. The reversal of 12427136064 is 46063172421.

12427136064 is a `hidden beast` number, since 1 + 2 + 42 + 7 + 1 + 3 + 606 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12427136063) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1537032 + ... + 1545095.

It is an arithmetic number, because the mean of its divisors is an integer number (484627936).

Almost surely, 2^12427136064 is an apocalyptic number.

12427136064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

12427136064 is an abundant number, since it is smaller than the sum of its proper divisors (28281610560).

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

12427136064 is a wasteful number, since it uses less digits than its factorization.

12427136064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3082152 (or 3082139 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 12427136064 in words is "twelve billion, four hundred twenty-seven million, one hundred thirty-six thousand, sixty-four".