13664136640 has 224 divisors, whose sum is σ = 41236075008. Its totient is φ = 4188672000.

The previous prime is 13664136611. The next prime is 13664136641. The reversal of 13664136640 is 4663146631.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13664136593 and 13664136602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13664136641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1498495 + ... + 1507585.

Almost surely, 2^13664136640 is an apocalyptic number.

13664136640 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 13664136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20618037504).

13664136640 is an abundant number, since it is smaller than the sum of its proper divisors (27571938368).

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

13664136640 is a wasteful number, since it uses less digits than its factorization.

13664136640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9187 (or 9177 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

Subtracting from 13664136640 its reverse (4663146631), we obtain a palindrome (9000990009).

The spelling of 13664136640 in words is "thirteen billion, six hundred sixty-four million, one hundred thirty-six thousand, six hundred forty".