13382467200 has 576 divisors, whose sum is σ = 50609707200. Its totient is φ = 3360276480.

The previous prime is 13382467187. The next prime is 13382467207. The reversal of 13382467200 is 276428331.

It is a happy number.

13382467200 is a `hidden beast` number, since 13 + 382 + 4 + 67 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-3 number, since 3×13382467200³ (a number of 31 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (13382467207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 58953487 + ... + 58953713.

It is an arithmetic number, because the mean of its divisors is an integer number (87864075).

Almost surely, 2^13382467200 is an apocalyptic number.

13382467200 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 13382467200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25304853600).

13382467200 is an abundant number, since it is smaller than the sum of its proper divisors (37227240000).

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

13382467200 is a wasteful number, since it uses less digits than its factorization.

13382467200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 349 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 13382467200 in words is "thirteen billion, three hundred eighty-two million, four hundred sixty-seven thousand, two hundred".