6617704128 has 168 divisors, whose sum is σ = 20494556928. Its totient is φ = 1846107648.

The previous prime is 6617704109. The next prime is 6617704129. The reversal of 6617704128 is 8214077166.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 6617704128.

It is not an unprimeable number, because it can be changed into a prime (6617704129) 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 23 ways as a sum of consecutive naturals, for example, 2483725 + ... + 2486387.

Almost surely, 2^6617704128 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 6617704128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10247278464).

6617704128 is an abundant number, since it is smaller than the sum of its proper divisors (13876852800).

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

6617704128 is a wasteful number, since it uses less digits than its factorization.

6617704128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2771 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 6617704128 is about 81349.2724491129. The cubic root of 6617704128 is about 1877.4531803457.

The spelling of 6617704128 in words is "six billion, six hundred seventeen million, seven hundred four thousand, one hundred twenty-eight".