13001067640 has 96 divisors (see below), whose sum is σ = 32341407840. Its totient is φ = 4700030720.

The previous prime is 13001067637. The next prime is 13001067689. The reversal of 13001067640 is 4676010031.

It is a junction number, because it is equal to n+sod(n) for n = 13001067599 and 13001067608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 829557 + ... + 845083.

It is an arithmetic number, because the mean of its divisors is an integer number (336889665).

Almost surely, 2^13001067640 is an apocalyptic number.

13001067640 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 13001067640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16170703920).

13001067640 is an abundant number, since it is smaller than the sum of its proper divisors (19340340200).

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

13001067640 is a wasteful number, since it uses less digits than its factorization.

13001067640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15733 (or 15718 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 13001067640 its reverse (4676010031), we get a palindrome (17677077671).

The spelling of 13001067640 in words is "thirteen billion, one million, sixty-seven thousand, six hundred forty".