13740977764800 has 2016 divisors, whose sum is σ = 60115666351104. Its totient is φ = 3043215360000.

The previous prime is 13740977764693. The next prime is 13740977764853. The reversal of 13740977764800 is 846777904731.

13740977764800 is a `hidden beast` number, since 13 + 7 + 4 + 0 + 9 + 77 + 76 + 480 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5615437177 + ... + 5615439623.

It is an arithmetic number, because the mean of its divisors is an integer number (29819278944).

Almost surely, 2^{13740977764800} is an apocalyptic number.

13740977764800 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 13740977764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30057833175552).

13740977764800 is an abundant number, since it is smaller than the sum of its proper divisors (46374688586304).

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

13740977764800 is a wasteful number, since it uses less digits than its factorization.

13740977764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2609 (or 2582 counting only the distinct ones).

The product of its (nonzero) digits is 49787136, while the sum is 63.

The spelling of 13740977764800 in words is "thirteen trillion, seven hundred forty billion, nine hundred seventy-seven million, seven hundred sixty-four thousand, eight hundred".