6865658064 has 80 divisors (see below), whose sum is σ = 19736683200. Its totient is φ = 2285103744.

The previous prime is 6865658027. The next prime is 6865658077. The reversal of 6865658064 is 4608565686.

It is a happy number.

6865658064 is a `hidden beast` number, since 6 + 8 + 6 + 56 + 580 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 6865658064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283422 + ... + 306690.

It is an arithmetic number, because the mean of its divisors is an integer number (246708540).

Almost surely, 2^6865658064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6865658064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9868341600).

6865658064 is an abundant number, since it is smaller than the sum of its proper divisors (12871025136).

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

6865658064 is a wasteful number, since it uses less digits than its factorization.

6865658064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23969 (or 23957 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The square root of 6865658064 is about 82859.2666151469. The cubic root of 6865658064 is about 1900.6145808701.

The spelling of 6865658064 in words is "six billion, eight hundred sixty-five million, six hundred fifty-eight thousand, sixty-four".