13567421664 has 144 divisors (see below), whose sum is σ = 40374446112. Its totient is φ = 4317041664.

The previous prime is 13567421663. The next prime is 13567421729. The reversal of 13567421664 is 46612476531.

13567421664 is a `hidden beast` number, since 1 + 3 + 567 + 4 + 21 + 6 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13567421663) 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, 552757 + ... + 576779.

It is an arithmetic number, because the mean of its divisors is an integer number (280378098).

Almost surely, 2^13567421664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13567421664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20187223056).

13567421664 is an abundant number, since it is smaller than the sum of its proper divisors (26807024448).

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

13567421664 is a wasteful number, since it uses less digits than its factorization.

13567421664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24129 (or 24118 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The spelling of 13567421664 in words is "thirteen billion, five hundred sixty-seven million, four hundred twenty-one thousand, six hundred sixty-four".