13274749660680 has 320 divisors, whose sum is σ = 45571952764800. Its totient is φ = 3464958228480.

The previous prime is 13274749660607. The next prime is 13274749660741. The reversal of 13274749660680 is 8606694747231.

It is a happy number.

13274749660680 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 4 + 7 + 496 + 60 + 6 + 80 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 31767984 + ... + 32183136.

It is an arithmetic number, because the mean of its divisors is an integer number (142412352390).

Almost surely, 2^{13274749660680} is an apocalyptic number.

13274749660680 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 13274749660680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22785976382400).

13274749660680 is an abundant number, since it is smaller than the sum of its proper divisors (32297203104120).

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

13274749660680 is a wasteful number, since it uses less digits than its factorization.

13274749660680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415386 (or 415373 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 13274749660680 in words is "thirteen trillion, two hundred seventy-four billion, seven hundred forty-nine million, six hundred sixty thousand, six hundred eighty".