6724128826801 has 32 divisors (see below), whose sum is σ = 7146129070080. Its totient is φ = 6316471526400.

The previous prime is 6724128826769. The next prime is 6724128826813. The reversal of 6724128826801 is 1086288214276.

It is not a de Polignac number, because 6724128826801 - 2⁵ = 6724128826769 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6724128826201) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 927846360 + ... + 927853606.

It is an arithmetic number, because the mean of its divisors is an integer number (223316533440).

Almost surely, 2^{6724128826801} is an apocalyptic number.

It is an amenable number.

6724128826801 is a deficient number, since it is larger than the sum of its proper divisors (422000243279).

6724128826801 is a wasteful number, since it uses less digits than its factorization.

6724128826801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11265.

The product of its (nonzero) digits is 4128768, while the sum is 55.

The spelling of 6724128826801 in words is "six trillion, seven hundred twenty-four billion, one hundred twenty-eight million, eight hundred twenty-six thousand, eight hundred one".