13672900039680 has 792 divisors, whose sum is σ = 55164935105280. Its totient is φ = 3122184683520.

The previous prime is 13672900039679. The next prime is 13672900039691. The reversal of 13672900039680 is 8693000927631.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2978194185 + ... + 2978198775.

It is an arithmetic number, because the mean of its divisors is an integer number (69652695840).

Almost surely, 2^{13672900039680} is an apocalyptic number.

13672900039680 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 13672900039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27582467552640).

13672900039680 is an abundant number, since it is smaller than the sum of its proper divisors (41492035065600).

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

13672900039680 is a wasteful number, since it uses less digits than its factorization.

13672900039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5955 (or 5927 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 13672900039680 in words is "thirteen trillion, six hundred seventy-two billion, nine hundred million, thirty-nine thousand, six hundred eighty".