6825780007345 has 16 divisors (see below), whose sum is σ = 8871996509712. Its totient is φ = 5011439719680.

The previous prime is 6825780007313. The next prime is 6825780007379. The reversal of 6825780007345 is 5437000875286.

It can be written as a sum of positive squares in 8 ways, for example, as 1080127861264 + 5745652146081 = 1039292^2 + 2397009^2 .

It is not a de Polignac number, because 6825780007345 - 2⁵ = 6825780007313 is a prime.

It is a super-3 number, since 3×6825780007345³ (a number of 39 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 303491646 + ... + 303514135.

It is an arithmetic number, because the mean of its divisors is an integer number (554499781857).

Almost surely, 2^{6825780007345} is an apocalyptic number.

6825780007345 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6825780007345 is a deficient number, since it is larger than the sum of its proper divisors (2046216502367).

6825780007345 is a wasteful number, since it uses less digits than its factorization.

6825780007345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607005972.

The product of its (nonzero) digits is 11289600, while the sum is 55.

The spelling of 6825780007345 in words is "six trillion, eight hundred twenty-five billion, seven hundred eighty million, seven thousand, three hundred forty-five".