13208432640 has 416 divisors, whose sum is σ = 47557601280. Its totient is φ = 3105619968.

The previous prime is 13208432639. The next prime is 13208432647. The reversal of 13208432640 is 4623480231.

It is a tau number, because it is divible by the number of its divisors (416).

It is not an unprimeable number, because it can be changed into a prime (13208432647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18370201 + ... + 18370919.

Almost surely, 2^13208432640 is an apocalyptic number.

13208432640 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 13208432640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23778800640).

13208432640 is an abundant number, since it is smaller than the sum of its proper divisors (34349168640).

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

13208432640 is a wasteful number, since it uses less digits than its factorization.

13208432640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 13208432640 in words is "thirteen billion, two hundred eight million, four hundred thirty-two thousand, six hundred forty".