5583790080 has 784 divisors, whose sum is σ = 23206978224. Its totient is φ = 1274019840.

The previous prime is 5583790027. The next prime is 5583790169. The reversal of 5583790080 is 800973855.

5583790080 is a `hidden beast` number, since 558 + 3 + 7 + 90 + 0 + 8 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 328458232 + ... + 328458248.

Almost surely, 2^5583790080 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 5583790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11603489112).

5583790080 is an abundant number, since it is smaller than the sum of its proper divisors (17623188144).

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

5583790080 is an equidigital number, since it uses as much as digits as its factorization.

5583790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 5583790080 is about 74724.7621608794. The cubic root of 5583790080 is about 1774.0929127075.

The spelling of 5583790080 in words is "five billion, five hundred eighty-three million, seven hundred ninety thousand, eighty".