12304742768640 has 1008 divisors, whose sum is σ = 49739006614752. Its totient is φ = 2805646491648.

The previous prime is 12304742768611. The next prime is 12304742768663. The reversal of 12304742768640 is 4686724740321.

12304742768640 is a `hidden beast` number, since 1 + 2 + 30 + 474 + 27 + 6 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13132062252 + ... + 13132063188.

It is an arithmetic number, because the mean of its divisors is an integer number (49344252594).

Almost surely, 2^{12304742768640} is an apocalyptic number.

12304742768640 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 12304742768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24869503307376).

12304742768640 is an abundant number, since it is smaller than the sum of its proper divisors (37434263846112).

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

12304742768640 is an equidigital number, since it uses as much as digits as its factorization.

12304742768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1715 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 10838016, while the sum is 54.

The spelling of 12304742768640 in words is "twelve trillion, three hundred four billion, seven hundred forty-two million, seven hundred sixty-eight thousand, six hundred forty".