13642641280 has 64 divisors (see below), whose sum is σ = 32644263600. Its totient is φ = 5452066816.

The previous prime is 13642641263. The next prime is 13642641289. The reversal of 13642641280 is 8214624631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×13642641280² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13642641289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 735156 + ... + 753484.

Almost surely, 2^13642641280 is an apocalyptic number.

13642641280 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 13642641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16322131800).

13642641280 is an abundant number, since it is smaller than the sum of its proper divisors (19001622320).

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

13642641280 is a wasteful number, since it uses less digits than its factorization.

13642641280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19511 (or 19499 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The spelling of 13642641280 in words is "thirteen billion, six hundred forty-two million, six hundred forty-one thousand, two hundred eighty".