5624930304 has 420 divisors, whose sum is σ = 19660877874. Its totient is φ = 1597833216.

The previous prime is 5624930287. The next prime is 5624930309. The reversal of 5624930304 is 4030394265.

5624930304 is a `hidden beast` number, since 562 + 4 + 93 + 0 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3657830400 + 1967099904 = 60480^2 + 44352^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5624930309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 32513962 + ... + 32514134.

Almost surely, 2^5624930304 is an apocalyptic number.

5624930304 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 5624930304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9830438937).

5624930304 is an abundant number, since it is smaller than the sum of its proper divisors (14035947570).

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

5624930304 is an equidigital number, since it uses as much as digits as its factorization.

5624930304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 5624930304 is about 74999.5353585607. The cubic root of 5624930304 is about 1778.4393069929.

The spelling of 5624930304 in words is "five billion, six hundred twenty-four million, nine hundred thirty thousand, three hundred four".