12604745874240 has 672 divisors, whose sum is σ = 47075615897856. Its totient is φ = 3077156044800.

The previous prime is 12604745874223. The next prime is 12604745874263. The reversal of 12604745874240 is 4247854740621.

12604745874240 is a `hidden beast` number, since 1 + 2 + 60 + 47 + 45 + 87 + 424 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4449255864 + ... + 4449258696.

It is an arithmetic number, because the mean of its divisors is an integer number (70052999848).

Almost surely, 2^{12604745874240} is an apocalyptic number.

12604745874240 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 12604745874240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23537807948928).

12604745874240 is an abundant number, since it is smaller than the sum of its proper divisors (34470870023616).

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

12604745874240 is a wasteful number, since it uses less digits than its factorization.

12604745874240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3794 counting only the distinct ones).

The product of its (nonzero) digits is 12042240, while the sum is 54.

The spelling of 12604745874240 in words is "twelve trillion, six hundred four billion, seven hundred forty-five million, eight hundred seventy-four thousand, two hundred forty".