6886746825 has 144 divisors (see below), whose sum is σ = 13778034816. Its totient is φ = 2972851200.

The previous prime is 6886746817. The next prime is 6886746877. The reversal of 6886746825 is 5286476886.

It is not a de Polignac number, because 6886746825 - 2³ = 6886746817 is a prime.

Its product of digits (30965760) is a multiple of the sum of its prime factors (384).

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 143 ways as a sum of consecutive naturals, for example, 38048235 + ... + 38048415.

Almost surely, 2^6886746825 is an apocalyptic number.

It is an amenable number.

6886746825 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

6886746825 is a wasteful number, since it uses less digits than its factorization.

6886746825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 356 counting only the distinct ones).

The product of its digits is 30965760, while the sum is 60.

The square root of 6886746825 is about 82986.4255465917. The cubic root of 6886746825 is about 1902.5585867004.

The spelling of 6886746825 in words is "six billion, eight hundred eighty-six million, seven hundred forty-six thousand, eight hundred twenty-five".