6729873640001 has 8 divisors (see below), whose sum is σ = 6732283458600. Its totient is φ = 6727464149760.

The previous prime is 6729873639967. The next prime is 6729873640069. The reversal of 6729873640001 is 1000463789276.

It is a Cunningham number, because it is equal to 2594200²+1.

It can be written as a sum of positive squares in 4 ways, for example, as 1721448961600 + 5008424678401 = 1312040^2 + 2237951^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6729873640001 - 2²⁶ = 6729806531137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6729873640081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45327755 + ... + 45475983.

It is an arithmetic number, because the mean of its divisors is an integer number (841535432325).

Almost surely, 2^{6729873640001} is an apocalyptic number.

It is an amenable number.

6729873640001 is a deficient number, since it is larger than the sum of its proper divisors (2409818599).

6729873640001 is a wasteful number, since it uses less digits than its factorization.

6729873640001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164179.

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 6729873640001 in words is "six trillion, seven hundred twenty-nine billion, eight hundred seventy-three million, six hundred forty thousand, one".