13670400000 has 360 divisors, whose sum is σ = 46075644720. Its totient is φ = 3604480000.

The previous prime is 13670399989. The next prime is 13670400011. The reversal of 13670400000 is 407631.

It is an interprime number because it is at equal distance from previous prime (13670399989) and next prime (13670400011).

It is a self number, because there is not a number n which added to its sum of digits gives 13670400000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 153599956 + ... + 153600044.

It is an arithmetic number, because the mean of its divisors is an integer number (127987902).

Almost surely, 2^13670400000 is an apocalyptic number.

13670400000 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 13670400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23037822360).

13670400000 is an abundant number, since it is smaller than the sum of its proper divisors (32405244720).

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

13670400000 is an frugal number, since it uses more digits than its factorization.

13670400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 13670400000 its reverse (407631), we get a palindrome (13670807631).

The spelling of 13670400000 in words is "thirteen billion, six hundred seventy million, four hundred thousand".