5624561664 has 138 divisors (see below), whose sum is σ = 16357783650. Its totient is φ = 1862270976.

The previous prime is 5624561633. The next prime is 5624561693. The reversal of 5624561664 is 4661654265.

5624561664 is a `hidden beast` number, since 5 + 6 + 24 + 5 + 616 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3774873600 + 1849688064 = 61440^2 + 43008^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 37748662 + ... + 37748810.

Almost surely, 2^5624561664 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 5624561664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8178891825).

5624561664 is an abundant number, since it is smaller than the sum of its proper divisors (10733221986).

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

5624561664 is an frugal number, since it uses more digits than its factorization.

5624561664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 154 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The square root of 5624561664 is about 74997.0777030679. The cubic root of 5624561664 is about 1778.4004550633.

The spelling of 5624561664 in words is "five billion, six hundred twenty-four million, five hundred sixty-one thousand, six hundred sixty-four".