12674837748420 has 288 divisors, whose sum is σ = 39790738391040. Its totient is φ = 3265807046400.

The previous prime is 12674837748401. The next prime is 12674837748449. The reversal of 12674837748420 is 2484773847621.

12674837748420 is a `hidden beast` number, since 1 + 2 + 6 + 7 + 4 + 83 + 77 + 484 + 2 + 0 = 666.

12674837748420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4402512541 + ... + 4402515419.

It is an arithmetic number, because the mean of its divisors is an integer number (138162286080).

Almost surely, 2^{12674837748420} is an apocalyptic number.

12674837748420 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 12674837748420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19895369195520).

12674837748420 is an abundant number, since it is smaller than the sum of its proper divisors (27115900642620).

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

12674837748420 is a wasteful number, since it uses less digits than its factorization.

12674837748420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3808 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 101154816, while the sum is 63.

The spelling of 12674837748420 in words is "twelve trillion, six hundred seventy-four billion, eight hundred thirty-seven million, seven hundred forty-eight thousand, four hundred twenty".