6432228480 has 128 divisors (see below), whose sum is σ = 20555366400. Its totient is φ = 1710858240.

The previous prime is 6432228469. The next prime is 6432228503. The reversal of 6432228480 is 848222346.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×6432228480² = 82747126437846220800, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 781185 + ... + 789375.

It is an arithmetic number, because the mean of its divisors is an integer number (160588800).

Almost surely, 2^6432228480 is an apocalyptic number.

6432228480 is a gapful number since it is divisible by the number (60) 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 6432228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10277683200).

6432228480 is an abundant number, since it is smaller than the sum of its proper divisors (14123137920).

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

6432228480 is a wasteful number, since it uses less digits than its factorization.

6432228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8622 (or 8610 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 39.

The square root of 6432228480 is about 80201.1750537360. The cubic root of 6432228480 is about 1859.7468033193.

The spelling of 6432228480 in words is "six billion, four hundred thirty-two million, two hundred twenty-eight thousand, four hundred eighty".