13768093946880 has 3960 divisors, whose sum is σ = 65727371587680. Its totient is φ = 2738983403520.

The previous prime is 13768093946843. The next prime is 13768093946897. The reversal of 13768093946880 is 8864939086731.

13768093946880 is a `hidden beast` number, since 1 + 3 + 7 + 6 + 80 + 9 + 3 + 9 + 468 + 80 = 666.

It is a super-2 number, since 2×13768093946880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13768093946799 and 13768093946808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 65251629975 + ... + 65251630185.

It is an arithmetic number, because the mean of its divisors is an integer number (16597821108).

Almost surely, 2^{13768093946880} is an apocalyptic number.

13768093946880 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 13768093946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32863685793840).

13768093946880 is an abundant number, since it is smaller than the sum of its proper divisors (51959277640800).

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

13768093946880 is a wasteful number, since it uses less digits than its factorization.

13768093946880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 13768093946880 in words is "thirteen trillion, seven hundred sixty-eight billion, ninety-three million, nine hundred forty-six thousand, eight hundred eighty".