13768862720 has 176 divisors, whose sum is σ = 34206647328. Its totient is φ = 5314314240.

The previous prime is 13768862663. The next prime is 13768862729. The reversal of 13768862720 is 2726886731.

It is not an unprimeable number, because it can be changed into a prime (13768862729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22461134 + ... + 22461746.

Almost surely, 2^13768862720 is an apocalyptic number.

13768862720 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 13768862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17103323664).

13768862720 is an abundant number, since it is smaller than the sum of its proper divisors (20437784608).

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

13768862720 is a wasteful number, since it uses less digits than its factorization.

13768862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 786 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 50.

The spelling of 13768862720 in words is "thirteen billion, seven hundred sixty-eight million, eight hundred sixty-two thousand, seven hundred twenty".