5604609024 has 440 divisors, whose sum is σ = 19616810400. Its totient is φ = 1593188352.

The previous prime is 5604609013. The next prime is 5604609029. The reversal of 5604609024 is 4209064065.

5604609024 is a `hidden beast` number, since 560 + 4 + 6 + 0 + 90 + 2 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5604609024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5604609029) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 28449694 + ... + 28449890.

It is an arithmetic number, because the mean of its divisors is an integer number (44583660).

Almost surely, 2^5604609024 is an apocalyptic number.

5604609024 is a gapful number since it is divisible by the number (54) 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 5604609024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9808405200).

5604609024 is an abundant number, since it is smaller than the sum of its proper divisors (14012201376).

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

5604609024 is an equidigital number, since it uses as much as digits as its factorization.

5604609024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5604609024 is about 74863.9367385926. The cubic root of 5604609024 is about 1776.2950568945.

The spelling of 5604609024 in words is "five billion, six hundred four million, six hundred nine thousand, twenty-four".