13246640640 has 320 divisors, whose sum is σ = 47640700800. Its totient is φ = 3488366592.

The previous prime is 13246640633. The next prime is 13246640699. The reversal of 13246640640 is 4604664231.

13246640640 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 6 + 6 + 4 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13246640595 and 13246640604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5735806 + ... + 5738114.

It is an arithmetic number, because the mean of its divisors is an integer number (148877190).

Almost surely, 2^13246640640 is an apocalyptic number.

13246640640 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 13246640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23820350400).

13246640640 is an abundant number, since it is smaller than the sum of its proper divisors (34394060160).

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

13246640640 is an equidigital number, since it uses as much as digits as its factorization.

13246640640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2424 (or 2402 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 13246640640 in words is "thirteen billion, two hundred forty-six million, six hundred forty thousand, six hundred forty".