12606740640 has 384 divisors, whose sum is σ = 48810021120. Its totient is φ = 3018829824.

The previous prime is 12606740599. The next prime is 12606740647. The reversal of 12606740640 is 4604760621.

12606740640 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 6 + 7 + 4 + 0 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 12606740595 and 12606740604.

It is not an unprimeable number, because it can be changed into a prime (12606740647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2074887 + ... + 2080953.

It is an arithmetic number, because the mean of its divisors is an integer number (127109430).

Almost surely, 2^12606740640 is an apocalyptic number.

12606740640 is a gapful number since it is divisible by the number (10) 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 12606740640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24405010560).

12606740640 is an abundant number, since it is smaller than the sum of its proper divisors (36203280480).

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

12606740640 is a wasteful number, since it uses less digits than its factorization.

12606740640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6141 (or 6127 counting only the distinct ones).

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

The spelling of 12606740640 in words is "twelve billion, six hundred six million, seven hundred forty thousand, six hundred forty".