6753720407085 has 288 divisors, whose sum is σ = 13295165554944. Its totient is φ = 3286821888000.

The previous prime is 6753720407047. The next prime is 6753720407171. The reversal of 6753720407085 is 5807040273576.

It is a happy number.

6753720407085 is a `hidden beast` number, since 6 + 7 + 537 + 20 + 4 + 0 + 7 + 0 + 85 = 666.

It is not a de Polignac number, because 6753720407085 - 2²⁰ = 6753719358509 is a prime.

It is a super-2 number, since 2×6753720407085² (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 1520763465 + ... + 1520767905.

It is an arithmetic number, because the mean of its divisors is an integer number (46163769288).

Almost surely, 2^{6753720407085} is an apocalyptic number.

It is an amenable number.

6753720407085 is a deficient number, since it is larger than the sum of its proper divisors (6541445147859).

6753720407085 is a wasteful number, since it uses less digits than its factorization.

6753720407085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4627 (or 4598 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 6753720407085 in words is "six trillion, seven hundred fifty-three billion, seven hundred twenty million, four hundred seven thousand, eighty-five".