13362764575680 has 2688 divisors, whose sum is σ = 58233966336000. Its totient is φ = 2772946649088.

The previous prime is 13362764575639. The next prime is 13362764575681. The reversal of 13362764575680 is 8657546726331.

13362764575680 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 2 + 7 + 64 + 5 + 7 + 568 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362764575681) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 29761168096 + ... + 29761168544.

It is an arithmetic number, because the mean of its divisors is an integer number (21664422000).

Almost surely, 2^{13362764575680} is an apocalyptic number.

13362764575680 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 13362764575680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29116983168000).

13362764575680 is an abundant number, since it is smaller than the sum of its proper divisors (44871201760320).

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

13362764575680 is a wasteful number, since it uses less digits than its factorization.

13362764575680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 13362764575680 in words is "thirteen trillion, three hundred sixty-two billion, seven hundred sixty-four million, five hundred seventy-five thousand, six hundred eighty".