13833000720 has 480 divisors, whose sum is σ = 59862001920. Its totient is φ = 2874009600.

The previous prime is 13833000679. The next prime is 13833000737. The reversal of 13833000720 is 2700033831.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1825740 + ... + 1833300.

It is an arithmetic number, because the mean of its divisors is an integer number (124712504).

Almost surely, 2^13833000720 is an apocalyptic number.

13833000720 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 13833000720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29931000960).

13833000720 is an abundant number, since it is smaller than the sum of its proper divisors (46029001200).

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

13833000720 is a wasteful number, since it uses less digits than its factorization.

13833000720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7612 (or 7589 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 13833000720 in words is "thirteen billion, eight hundred thirty-three million, seven hundred twenty", and thus it is an aban number.