5658442416 has 240 divisors, whose sum is σ = 17989920000. Its totient is φ = 1644572160.

The previous prime is 5658442409. The next prime is 5658442457. The reversal of 5658442416 is 6142448565.

It is a happy number.

5658442416 is a `hidden beast` number, since 56 + 584 + 4 + 2 + 4 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9140955 + ... + 9141573.

It is an arithmetic number, because the mean of its divisors is an integer number (74958000).

Almost surely, 2^5658442416 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 5658442416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8994960000).

5658442416 is an abundant number, since it is smaller than the sum of its proper divisors (12331477584).

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

5658442416 is a wasteful number, since it uses less digits than its factorization.

5658442416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 863 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The square root of 5658442416 is about 75222.6190450718. The cubic root of 5658442416 is about 1781.9641677128.

The spelling of 5658442416 in words is "five billion, six hundred fifty-eight million, four hundred forty-two thousand, four hundred sixteen".