5604640128 has 160 divisors (see below), whose sum is σ = 16803633000. Its totient is φ = 1854296064.

The previous prime is 5604640127. The next prime is 5604640141. The reversal of 5604640128 is 8210464065.

5604640128 is a `hidden beast` number, since 5 + 6 + 0 + 4 + 640 + 1 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5604640092 and 5604640101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5604640127) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1439208 + ... + 1443096.

Almost surely, 2^5604640128 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 5604640128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8401816500).

5604640128 is an abundant number, since it is smaller than the sum of its proper divisors (11198992872).

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

5604640128 is a wasteful number, since it uses less digits than its factorization.

5604640128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4054 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5604640128 is about 74864.1444751758. The cubic root of 5604640128 is about 1776.2983428674.

The spelling of 5604640128 in words is "five billion, six hundred four million, six hundred forty thousand, one hundred twenty-eight".