13638240000 has 1440 divisors, whose sum is σ = 64365396480. Its totient is φ = 2764800000.

The previous prime is 13638239983. The next prime is 13638240001. The reversal of 13638240000 is 4283631.

It is a happy number.

13638240000 is a `hidden beast` number, since 1 + 3 + 638 + 24 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13638240001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 332639980 + ... + 332640020.

It is an arithmetic number, because the mean of its divisors is an integer number (44698192).

Almost surely, 2^13638240000 is an apocalyptic number.

13638240000 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 13638240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32182698240).

13638240000 is an abundant number, since it is smaller than the sum of its proper divisors (50727156480).

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

13638240000 is an equidigital number, since it uses as much as digits as its factorization.

13638240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 13638240000 in words is "thirteen billion, six hundred thirty-eight million, two hundred forty thousand".