6729873636000 has 384 divisors, whose sum is σ = 22178632799232. Its totient is φ = 1783956480000.

The previous prime is 6729873635999. The next prime is 6729873636023. The reversal of 6729873636000 is 6363789276.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1515393780 + ... + 1515398220.

It is an arithmetic number, because the mean of its divisors is an integer number (57756856248).

Almost surely, 2^{6729873636000} is an apocalyptic number.

6729873636000 is a gapful number since it is divisible by the number (60) 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 6729873636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11089316399616).

6729873636000 is an abundant number, since it is smaller than the sum of its proper divisors (15448759163232).

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

6729873636000 is a wasteful number, since it uses less digits than its factorization.

6729873636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5175 counting only the distinct ones).

The product of its (nonzero) digits is 13716864, while the sum is 57.

The spelling of 6729873636000 in words is "six trillion, seven hundred twenty-nine billion, eight hundred seventy-three million, six hundred thirty-six thousand".