4004585984 has 80 divisors (see below), whose sum is σ = 9207000000. Its totient is φ = 1704505344.

The previous prime is 4004585951. The next prime is 4004586007. The reversal of 4004585984 is 4895854004.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 530267 + ... + 537765.

It is an arithmetic number, because the mean of its divisors is an integer number (115087500).

Almost surely, 2^4004585984 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 4004585984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603500000).

4004585984 is an abundant number, since it is smaller than the sum of its proper divisors (5202414016).

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

4004585984 is an equidigital number, since it uses as much as digits as its factorization.

4004585984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7673 (or 7657 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 47.

The square root of 4004585984 is about 63281.7982045390. The cubic root of 4004585984 is about 1588.0074699274.

The spelling of 4004585984 in words is "four billion, four million, five hundred eighty-five thousand, nine hundred eighty-four".