13833630720 has 528 divisors, whose sum is σ = 59012553600. Its totient is φ = 2917859328.

The previous prime is 13833630689. The next prime is 13833630763. The reversal of 13833630720 is 2703633831.

It is a happy number.

13833630720 is a `hidden beast` number, since 13 + 8 + 3 + 3 + 630 + 7 + 2 + 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 47 ways as a sum of consecutive naturals, for example, 4191631 + ... + 4194929.

It is an arithmetic number, because the mean of its divisors is an integer number (111766200).

Almost surely, 2^13833630720 is an apocalyptic number.

13833630720 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 13833630720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29506276800).

13833630720 is an abundant number, since it is smaller than the sum of its proper divisors (45178922880).

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

13833630720 is a wasteful number, since it uses less digits than its factorization.

13833630720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3350 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 13833630720 in words is "thirteen billion, eight hundred thirty-three million, six hundred thirty thousand, seven hundred twenty".