13368136320 has 1280 divisors, whose sum is σ = 63341118720. Its totient is φ = 2601123840.

The previous prime is 13368136319. The next prime is 13368136333. The reversal of 13368136320 is 2363186331.

13368136320 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 8 + 13 + 632 + 0 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 67858462 + ... + 67858658.

It is an arithmetic number, because the mean of its divisors is an integer number (49485249).

Almost surely, 2^13368136320 is an apocalyptic number.

13368136320 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 13368136320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31670559360).

13368136320 is an abundant number, since it is smaller than the sum of its proper divisors (49972982400).

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

13368136320 is a wasteful number, since it uses less digits than its factorization.

13368136320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13368136320 in words is "thirteen billion, three hundred sixty-eight million, one hundred thirty-six thousand, three hundred twenty".