5582767680 has 336 divisors, whose sum is σ = 22656052224. Its totient is φ = 1234759680.

The previous prime is 5582767661. The next prime is 5582767721. The reversal of 5582767680 is 867672855.

5582767680 is a `hidden beast` number, since 558 + 2 + 7 + 6 + 7 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 620494 + ... + 629426.

Almost surely, 2^5582767680 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 5582767680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11328026112).

5582767680 is an abundant number, since it is smaller than the sum of its proper divisors (17073284544).

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

5582767680 is a wasteful number, since it uses less digits than its factorization.

5582767680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8994 (or 8981 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The square root of 5582767680 is about 74717.9207419478. The cubic root of 5582767680 is about 1773.9846264429.

The spelling of 5582767680 in words is "five billion, five hundred eighty-two million, seven hundred sixty-seven thousand, six hundred eighty".