4483291680 has 1008 divisors, whose sum is σ = 20294124480. Its totient is φ = 913711104.

The previous prime is 4483291669. The next prime is 4483291711. The reversal of 4483291680 is 861923844.

It is a happy number.

4483291680 is a `hidden beast` number, since 4 + 483 + 2 + 9 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 235962711 + ... + 235962729.

It is an arithmetic number, because the mean of its divisors is an integer number (20133060).

Almost surely, 2^4483291680 is an apocalyptic number.

4483291680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4483291680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10147062240).

4483291680 is an abundant number, since it is smaller than the sum of its proper divisors (15810832800).

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

4483291680 is a wasteful number, since it uses less digits than its factorization.

4483291680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 53 counting only the distinct ones).

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

The square root of 4483291680 is about 66957.3870457920. The cubic root of 4483291680 is about 1648.9177696622.

The spelling of 4483291680 in words is "four billion, four hundred eighty-three million, two hundred ninety-one thousand, six hundred eighty".