5604019600 has 135 divisors (see below), whose sum is σ = 14282061987. Its totient is φ = 2112848640.

The previous prime is 5604019579. The next prime is 5604019601. The reversal of 5604019600 is 69104065.

The square root of 5604019600 is 74860.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1292258704 + 4311760896 = 35948^2 + 65664^2 .

It is not an unprimeable number, because it can be changed into a prime (5604019601) 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 26 ways as a sum of consecutive naturals, for example, 28446702 + ... + 28446898.

Almost surely, 2^5604019600 is an apocalyptic number.

5604019600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5604019600 is the 74860-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5604019600

5604019600 is an abundant number, since it is smaller than the sum of its proper divisors (8678042387).

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

5604019600 is a wasteful number, since it uses less digits than its factorization.

5604019600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 31.

The cubic root of 5604019600 is about 1776.2327850728.

The spelling of 5604019600 in words is "five billion, six hundred four million, nineteen thousand, six hundred".