13407387648 has 128 divisors (see below), whose sum is σ = 36993196800. Its totient is φ = 4314103808.

The previous prime is 13407387641. The next prime is 13407387661. The reversal of 13407387648 is 84678370431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 13407387648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13407387641) 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, 2848465 + ... + 2853167.

It is an arithmetic number, because the mean of its divisors is an integer number (289009350).

Almost surely, 2^13407387648 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 13407387648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18496598400).

13407387648 is an abundant number, since it is smaller than the sum of its proper divisors (23585809152).

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

13407387648 is an frugal number, since it uses more digits than its factorization.

13407387648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4765 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 13407387648 in words is "thirteen billion, four hundred seven million, three hundred eighty-seven thousand, six hundred forty-eight".