6686872064 has 160 divisors (see below), whose sum is σ = 14554425600. Its totient is φ = 3060744192.

The previous prime is 6686872057. The next prime is 6686872091. The reversal of 6686872064 is 4602786866.

It is a junction number, because it is equal to n+sod(n) for n = 6686871997 and 6686872015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44878262 + ... + 44878410.

It is an arithmetic number, because the mean of its divisors is an integer number (90965160).

Almost surely, 2^6686872064 is an apocalyptic number.

6686872064 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6686872064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277212800).

6686872064 is an abundant number, since it is smaller than the sum of its proper divisors (7867553536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6686872064 is a wasteful number, since it uses less digits than its factorization.

6686872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 53.

The square root of 6686872064 is about 81773.2967661204. The cubic root of 6686872064 is about 1883.9715407490.

The spelling of 6686872064 in words is "six billion, six hundred eighty-six million, eight hundred seventy-two thousand, sixty-four".