13667696640000 has 2280 divisors, whose sum is σ = 57233819715072. Its totient is φ = 3114270720000.

The previous prime is 13667696639983. The next prime is 13667696640097. The reversal of 13667696640000 is 4669676631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 440893439985 + ... + 440893440015.

Almost surely, 2^{13667696640000} is an apocalyptic number.

13667696640000 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 13667696640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28616909857536).

13667696640000 is an abundant number, since it is smaller than the sum of its proper divisors (43566123075072).

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

13667696640000 is an frugal number, since it uses more digits than its factorization.

13667696640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 13667696640000 in words is "thirteen trillion, six hundred sixty-seven billion, six hundred ninety-six million, six hundred forty thousand".