13664826784 has 144 divisors (see below), whose sum is σ = 32755435776. Its totient is φ = 5588352000.

The previous prime is 13664826743. The next prime is 13664826787. The reversal of 13664826784 is 48762846631.

It is a happy number.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (13664826787) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3546459 + ... + 3550309.

It is an arithmetic number, because the mean of its divisors is an integer number (227468304).

Almost surely, 2^13664826784 is an apocalyptic number.

13664826784 is a gapful number since it is divisible by the number (14) 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 13664826784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16377717888).

13664826784 is an abundant number, since it is smaller than the sum of its proper divisors (19090608992).

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

13664826784 is a wasteful number, since it uses less digits than its factorization.

13664826784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3979 (or 3964 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 55.

The spelling of 13664826784 in words is "thirteen billion, six hundred sixty-four million, eight hundred twenty-six thousand, seven hundred eighty-four".