6864664686 has 192 divisors, whose sum is σ = 16628226048. Its totient is φ = 1881792000.

The previous prime is 6864664661. The next prime is 6864664687.

It is a happy number.

6864664686 is nontrivially palindromic in base 10.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6864664687) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 25330731 + ... + 25331001.

It is an arithmetic number, because the mean of its divisors is an integer number (86605344).

Almost surely, 2^6864664686 is an apocalyptic number.

6864664686 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6864664686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8314113024).

6864664686 is an abundant number, since it is smaller than the sum of its proper divisors (9763561362).

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

6864664686 is a wasteful number, since it uses less digits than its factorization.

6864664686 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 388 counting only the distinct ones).

The product of its digits is 47775744, while the sum is 60.

The square root of 6864664686 is about 82853.2720295342. The cubic root of 6864664686 is about 1900.5229111054.

The spelling of 6864664686 in words is "six billion, eight hundred sixty-four million, six hundred sixty-four thousand, six hundred eighty-six".