6439668480 has 720 divisors, whose sum is σ = 27779431680. Its totient is φ = 1391468544.

The previous prime is 6439668479. The next prime is 6439668497. The reversal of 6439668480 is 848669346.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13789207 + ... + 13789673.

It is an arithmetic number, because the mean of its divisors is an integer number (38582544).

Almost surely, 2^6439668480 is an apocalyptic number.

6439668480 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 6439668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13889715840).

6439668480 is an abundant number, since it is smaller than the sum of its proper divisors (21339763200).

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

6439668480 is a wasteful number, since it uses less digits than its factorization.

6439668480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The square root of 6439668480 is about 80247.5450091777. The cubic root of 6439668480 is about 1860.4635681181.

The spelling of 6439668480 in words is "six billion, four hundred thirty-nine million, six hundred sixty-eight thousand, four hundred eighty".