4618944000 has 720 divisors, whose sum is σ = 18846066096. Its totient is φ = 1119744000.

The previous prime is 4618943977. The next prime is 4618944067. The reversal of 4618944000 is 4498164.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 419903995 + ... + 419904005.

Almost surely, 2^4618944000 is an apocalyptic number.

4618944000 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 4618944000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9423033048).

4618944000 is an abundant number, since it is smaller than the sum of its proper divisors (14227122096).

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

4618944000 is an frugal number, since it uses more digits than its factorization.

4618944000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 4618944000 is about 67962.8133614258. The cubic root of 4618944000 is about 1665.3834033058.

The spelling of 4618944000 in words is "four billion, six hundred eighteen million, nine hundred forty-four thousand".