13768080064640 has 256 divisors, whose sum is σ = 36752955465600. Its totient is φ = 4888626462720.

The previous prime is 13768080064637. The next prime is 13768080064643. The reversal of 13768080064640 is 4646008086731.

It is an interprime number because it is at equal distance from previous prime (13768080064637) and next prime (13768080064643).

It is not an unprimeable number, because it can be changed into a prime (13768080064643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1511476406 + ... + 1511485514.

Almost surely, 2^{13768080064640} is an apocalyptic number.

13768080064640 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 13768080064640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18376477732800).

13768080064640 is an abundant number, since it is smaller than the sum of its proper divisors (22984875400960).

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

13768080064640 is a wasteful number, since it uses less digits than its factorization.

13768080064640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14175 (or 14163 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The spelling of 13768080064640 in words is "thirteen trillion, seven hundred sixty-eight billion, eighty million, sixty-four thousand, six hundred forty".