5583378816 has 384 divisors, whose sum is σ = 18230378400. Its totient is φ = 1676279808.

The previous prime is 5583378803. The next prime is 5583378841. The reversal of 5583378816 is 6188733855.

5583378816 is a `hidden beast` number, since 558 + 3 + 3 + 7 + 8 + 81 + 6 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 49410376 + ... + 49410488.

Almost surely, 2^5583378816 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 5583378816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9115189200).

5583378816 is an abundant number, since it is smaller than the sum of its proper divisors (12646999584).

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

5583378816 is a wasteful number, since it uses less digits than its factorization.

5583378816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 164 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The square root of 5583378816 is about 74722.0102513309. The cubic root of 5583378816 is about 1774.0493557655.

The spelling of 5583378816 in words is "five billion, five hundred eighty-three million, three hundred seventy-eight thousand, eight hundred sixteen".