6438516480 has 648 divisors, whose sum is σ = 25445347200. Its totient is φ = 1500364800.

The previous prime is 6438516473. The next prime is 6438516493. The reversal of 6438516480 is 846158346.

6438516480 is a `hidden beast` number, since 64 + 38 + 516 + 48 + 0 = 666.

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 (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 43211446 + ... + 43211594.

Almost surely, 2^6438516480 is an apocalyptic number.

6438516480 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 6438516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12722673600).

6438516480 is an abundant number, since it is smaller than the sum of its proper divisors (19006830720).

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

6438516480 is a wasteful number, since it uses less digits than its factorization.

6438516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 6438516480 is about 80240.3668984633. The cubic root of 6438516480 is about 1860.3526213174.

The spelling of 6438516480 in words is "six billion, four hundred thirty-eight million, five hundred sixteen thousand, four hundred eighty".