13664359800 has 1440 divisors, whose sum is σ = 63261665280. Its totient is φ = 2668723200.

The previous prime is 13664359783. The next prime is 13664359801. The reversal of 13664359800 is 895346631.

13664359800 is a `hidden beast` number, since 13 + 6 + 6 + 43 + 598 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13664359801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 440785785 + ... + 440785815.

It is an arithmetic number, because the mean of its divisors is an integer number (43931712).

Almost surely, 2^13664359800 is an apocalyptic number.

13664359800 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 13664359800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31630832640).

13664359800 is an abundant number, since it is smaller than the sum of its proper divisors (49597305480).

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

13664359800 is a wasteful number, since it uses less digits than its factorization.

13664359800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 13664359800 in words is "thirteen billion, six hundred sixty-four million, three hundred fifty-nine thousand, eight hundred".