4055664384 has 144 divisors (see below), whose sum is σ = 12407488800. Its totient is φ = 1305206784.

The previous prime is 4055664383. The next prime is 4055664409. The reversal of 4055664384 is 4834665504.

4055664384 is a `hidden beast` number, since 4 + 0 + 5 + 566 + 4 + 3 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4055664383) 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, 190332 + ... + 210564.

Almost surely, 2^4055664384 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 4055664384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6203744400).

4055664384 is an abundant number, since it is smaller than the sum of its proper divisors (8351824416).

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

4055664384 is a wasteful number, since it uses less digits than its factorization.

4055664384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20287 (or 20267 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The square root of 4055664384 is about 63684.0983605798. The cubic root of 4055664384 is about 1594.7306318169.

The spelling of 4055664384 in words is "four billion, fifty-five million, six hundred sixty-four thousand, three hundred eighty-four".