6659516864 has 112 divisors (see below), whose sum is σ = 17743358976. Its totient is φ = 2395008000.

The previous prime is 6659516849. The next prime is 6659516867. The reversal of 6659516864 is 4686159566.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6659516867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12089 + ... + 116039.

It is an arithmetic number, because the mean of its divisors is an integer number (158422848).

Almost surely, 2^6659516864 is an apocalyptic number.

6659516864 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 6659516864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8871679488).

6659516864 is an abundant number, since it is smaller than the sum of its proper divisors (11083842112).

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

6659516864 is a wasteful number, since it uses less digits than its factorization.

6659516864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103994 (or 103984 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 56.

The square root of 6659516864 is about 81605.8629266305. The cubic root of 6659516864 is about 1881.3989949005.

The spelling of 6659516864 in words is "six billion, six hundred fifty-nine million, five hundred sixteen thousand, eight hundred sixty-four".