4468322880 has 336 divisors, whose sum is σ = 18217530240. Its totient is φ = 1021206528.

The previous prime is 4468322879. The next prime is 4468322897. The reversal of 4468322880 is 882238644.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 540216 + ... + 548424.

It is an arithmetic number, because the mean of its divisors is an integer number (54218840).

Almost surely, 2^4468322880 is an apocalyptic number.

4468322880 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 4468322880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9108765120).

4468322880 is an abundant number, since it is smaller than the sum of its proper divisors (13749207360).

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

4468322880 is an equidigital number, since it uses as much as digits as its factorization.

4468322880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8248 (or 8226 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 4468322880 is about 66845.5150327978. The cubic root of 4468322880 is about 1647.0805896843.

The spelling of 4468322880 in words is "four billion, four hundred sixty-eight million, three hundred twenty-two thousand, eight hundred eighty".