13768600320 has 540 divisors, whose sum is σ = 51136710240. Its totient is φ = 3536732160.

The previous prime is 13768600319. The next prime is 13768600409. The reversal of 13768600320 is 2300686731.

It is a happy number.

13768600320 is a `hidden beast` number, since 13 + 7 + 6 + 8 + 600 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 174286041 + ... + 174286119.

Almost surely, 2^13768600320 is an apocalyptic number.

13768600320 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 13768600320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25568355120).

13768600320 is an abundant number, since it is smaller than the sum of its proper divisors (37368109920).

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

13768600320 is an frugal number, since it uses more digits than its factorization.

13768600320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 13768600320 in words is "thirteen billion, seven hundred sixty-eight million, six hundred thousand, three hundred twenty".