6729873640000 has 945 divisors, whose sum is σ = 20812458696183. Its totient is φ = 2151733248000.

The previous prime is 6729873639967. The next prime is 6729873640069. The reversal of 6729873640000 is 463789276.

The square root of 6729873640000 is 2594200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 6425981642304 + 303891997696 = 2534952^2 + 551264^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6729873640000.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 61741959946 + ... + 61741960054.

Almost surely, 2^{6729873640000} is an apocalyptic number.

6729873640000 is the 2594200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6729873640000

6729873640000 is an abundant number, since it is smaller than the sum of its proper divisors (14082585056183).

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

6729873640000 is an equidigital number, since it uses as much as digits as its factorization.

6729873640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 6729873640000 in words is "six trillion, seven hundred twenty-nine billion, eight hundred seventy-three million, six hundred forty thousand".