5617409040 has 180 divisors, whose sum is σ = 19540191684. Its totient is φ = 1446165504.

The previous prime is 5617408987. The next prime is 5617409047. The reversal of 5617409040 is 409047165.

5617409040 is a `hidden beast` number, since 561 + 7 + 4 + 0 + 90 + 4 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 89189136 + 5528219904 = 9444^2 + 74352^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a junction number, because it is equal to n+sod(n) for n = 5617408986 and 5617409004.

It is not an unprimeable number, because it can be changed into a prime (5617409047) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 600882 + ... + 610158.

Almost surely, 2^5617409040 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 5617409040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9770095842).

5617409040 is an abundant number, since it is smaller than the sum of its proper divisors (13922782644).

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

5617409040 is a wasteful number, since it uses less digits than its factorization.

5617409040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9354 (or 9316 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5617409040 is about 74949.3765150852. The cubic root of 5617409040 is about 1777.6462851471.

The spelling of 5617409040 in words is "five billion, six hundred seventeen million, four hundred nine thousand, forty".