13758646672 has 40 divisors (see below), whose sum is σ = 27655769600. Its totient is φ = 6623907840.

The previous prime is 13758646663. The next prime is 13758646679. The reversal of 13758646672 is 27664685731.

It is not an unprimeable number, because it can be changed into a prime (13758646679) 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, 29008 + ... + 168400.

It is an arithmetic number, because the mean of its divisors is an integer number (691394240).

Almost surely, 2^13758646672 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 13758646672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827884800).

13758646672 is an abundant number, since it is smaller than the sum of its proper divisors (13897122928).

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

13758646672 is a wasteful number, since it uses less digits than its factorization.

13758646672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139631 (or 139625 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 55.

The spelling of 13758646672 in words is "thirteen billion, seven hundred fifty-eight million, six hundred forty-six thousand, six hundred seventy-two".