13619640672000 has 864 divisors, whose sum is σ = 55443108075264. Its totient is φ = 3301710336000.

The previous prime is 13619640671993. The next prime is 13619640672019. The reversal of 13619640672000 is 27604691631.

13619640672000 is a `hidden beast` number, since 1 + 3 + 619 + 6 + 4 + 0 + 6 + 7 + 20 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-3 number, since 3×13619640672000³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 85456387 + ... + 85615613.

It is an arithmetic number, because the mean of its divisors is an integer number (64170263976).

Almost surely, 2^{13619640672000} is an apocalyptic number.

13619640672000 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 13619640672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27721554037632).

13619640672000 is an abundant number, since it is smaller than the sum of its proper divisors (41823467403264).

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

13619640672000 is an equidigital number, since it uses as much as digits as its factorization.

13619640672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159284 (or 159248 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 13619640672000 in words is "thirteen trillion, six hundred nineteen billion, six hundred forty million, six hundred seventy-two thousand".