5584945680 has 80 divisors (see below), whose sum is σ = 19237042560. Its totient is φ = 1489318272.

The previous prime is 5584945673. The next prime is 5584945687. The reversal of 5584945680 is 865494855.

5584945680 is a `hidden beast` number, since 5 + 584 + 9 + 4 + 56 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5584945673) and next prime (5584945687).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (5584945687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1290652 + ... + 1294971.

It is an arithmetic number, because the mean of its divisors is an integer number (240463032).

Almost surely, 2^5584945680 is an apocalyptic number.

It is an amenable number.

5584945680 is an abundant number, since it is smaller than the sum of its proper divisors (13652096880).

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

5584945680 is a wasteful number, since it uses less digits than its factorization.

5584945680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585645 (or 2585633 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The square root of 5584945680 is about 74732.4941374232. The cubic root of 5584945680 is about 1774.2152907773.

The spelling of 5584945680 in words is "five billion, five hundred eighty-four million, nine hundred forty-five thousand, six hundred eighty".