5984464680 has 160 divisors (see below), whose sum is σ = 20145628800. Its totient is φ = 1593385344.

The previous prime is 5984464669. The next prime is 5984464709. The reversal of 5984464680 is 864644895.

5984464680 is a `hidden beast` number, since 598 + 4 + 4 + 6 + 46 + 8 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3183981 + ... + 3185859.

It is an arithmetic number, because the mean of its divisors is an integer number (125910180).

Almost surely, 2^5984464680 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 5984464680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10072814400).

5984464680 is an abundant number, since it is smaller than the sum of its proper divisors (14161164120).

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

5984464680 is a wasteful number, since it uses less digits than its factorization.

5984464680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885 (or 2872 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The square root of 5984464680 is about 77359.3218687961. The cubic root of 5984464680 is about 1815.5509289895.

The spelling of 5984464680 in words is "five billion, nine hundred eighty-four million, four hundred sixty-four thousand, six hundred eighty".