13768349760 has 448 divisors, whose sum is σ = 53270749440. Its totient is φ = 3319971840.

The previous prime is 13768349747. The next prime is 13768349767. The reversal of 13768349760 is 6794386731.

13768349760 is a `hidden beast` number, since 1 + 3 + 76 + 83 + 497 + 6 + 0 = 666.

It is a super-2 number, since 2×13768349760² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13768349697 and 13768349706.

It is not an unprimeable number, because it can be changed into a prime (13768349767) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 30127452 + ... + 30127908.

Almost surely, 2^13768349760 is an apocalyptic number.

13768349760 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 13768349760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26635374720).

13768349760 is an abundant number, since it is smaller than the sum of its proper divisors (39502399680).

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

13768349760 is a wasteful number, since it uses less digits than its factorization.

13768349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 795 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 13768349760 in words is "thirteen billion, seven hundred sixty-eight million, three hundred forty-nine thousand, seven hundred sixty".