4468806720 has 448 divisors, whose sum is σ = 18513308160. Its totient is φ = 993337344.

The previous prime is 4468806703. The next prime is 4468806731. The reversal of 4468806720 is 276088644.

It is a tau number, because it is divible by the number of its divisors (448).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2236762 + ... + 2238758.

Almost surely, 2^4468806720 is an apocalyptic number.

4468806720 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 4468806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9256654080).

4468806720 is an abundant number, since it is smaller than the sum of its proper divisors (14044501440).

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

4468806720 is a wasteful number, since it uses less digits than its factorization.

4468806720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2067 (or 2051 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 4468806720 is about 66849.1340258047. The cubic root of 4468806720 is about 1647.1400373960.

The spelling of 4468806720 in words is "four billion, four hundred sixty-eight million, eight hundred six thousand, seven hundred twenty".