6444456480 has 1296 divisors, whose sum is σ = 30734593344. Its totient is φ = 1213470720.

The previous prime is 6444456443. The next prime is 6444456523. The reversal of 6444456480 is 846544446.

6444456480 is a `hidden beast` number, since 6 + 4 + 4 + 4 + 4 + 564 + 80 = 666.

It is a super-2 number, since 2×6444456480² = 83062038645227980800, which contains 22 as substring.

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 (11) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 280193749 + ... + 280193771.

It is an arithmetic number, because the mean of its divisors is an integer number (23714964).

Almost surely, 2^6444456480 is an apocalyptic number.

6444456480 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 6444456480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15367296672).

6444456480 is an abundant number, since it is smaller than the sum of its proper divisors (24290136864).

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

6444456480 is a wasteful number, since it uses less digits than its factorization.

6444456480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 45.

The square root of 6444456480 is about 80277.3721543001. The cubic root of 6444456480 is about 1860.9245490304.

The spelling of 6444456480 in words is "six billion, four hundred forty-four million, four hundred fifty-six thousand, four hundred eighty".