5616599040 has 384 divisors, whose sum is σ = 21039880680. Its totient is φ = 1377828864.

The previous prime is 5616599033. The next prime is 5616599081. The reversal of 5616599040 is 409956165.

It is a happy number.

5616599040 is a `hidden beast` number, since 5 + 6 + 16 + 599 + 0 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4830806016 + 785793024 = 69504^2 + 28032^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×5616599040² = 63092369552257843200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19169134 + ... + 19169426.

Almost surely, 2^5616599040 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 5616599040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10519940340).

5616599040 is an abundant number, since it is smaller than the sum of its proper divisors (15423281640).

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

5616599040 is a wasteful number, since it uses less digits than its factorization.

5616599040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 5616599040 is about 74943.9726729241. The cubic root of 5616599040 is about 1777.5608387136.

The spelling of 5616599040 in words is "five billion, six hundred sixteen million, five hundred ninety-nine thousand, forty".