13004167680 has 1200 divisors, whose sum is σ = 58370121216. Its totient is φ = 2707292160.

The previous prime is 13004167607. The next prime is 13004167681. The reversal of 13004167680 is 8676140031.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13004167681) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 419489265 + ... + 419489295.

Almost surely, 2^13004167680 is an apocalyptic number.

13004167680 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 13004167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29185060608).

13004167680 is an abundant number, since it is smaller than the sum of its proper divisors (45365953536).

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

13004167680 is an equidigital number, since it uses as much as digits as its factorization.

13004167680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 13004167680 in words is "thirteen billion, four million, one hundred sixty-seven thousand, six hundred eighty".