1664429184 has 384 divisors, whose sum is σ = 5702860800. Its totient is φ = 460339200.

The previous prime is 1664429177. The next prime is 1664429213. The reversal of 1664429184 is 4819244661.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7463697 + ... + 7463919.

It is an arithmetic number, because the mean of its divisors is an integer number (14851200).

Almost surely, 2^1664429184 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 1664429184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851430400).

1664429184 is an abundant number, since it is smaller than the sum of its proper divisors (4038431616).

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

1664429184 is a wasteful number, since it uses less digits than its factorization.

1664429184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 289 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1664429184 is about 40797.4163887862. The cubic root of 1664429184 is about 1185.1002980854.

The spelling of 1664429184 in words is "one billion, six hundred sixty-four million, four hundred twenty-nine thousand, one hundred eighty-four".