13064646624 has 96 divisors (see below), whose sum is σ = 35537473440. Its totient is φ = 4197580800.

The previous prime is 13064646619. The next prime is 13064646631. The reversal of 13064646624 is 42664646031.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1780884 + ... + 1788204.

It is an arithmetic number, because the mean of its divisors is an integer number (370182015).

Almost surely, 2^13064646624 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 13064646624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17768736720).

13064646624 is an abundant number, since it is smaller than the sum of its proper divisors (22472826816).

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

13064646624 is a wasteful number, since it uses less digits than its factorization.

13064646624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8004 (or 7996 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 13064646624 in words is "thirteen billion, sixty-four million, six hundred forty-six thousand, six hundred twenty-four".