6439680000 has 720 divisors, whose sum is σ = 25611145560. Its totient is φ = 1548288000.

The previous prime is 6439679989. The next prime is 6439680011. The reversal of 6439680000 is 869346.

6439680000 is a `hidden beast` number, since 643 + 9 + 6 + 8 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6439679989) and next prime (6439680011).

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 (36).

It is a congruent number.

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 59 ways as a sum of consecutive naturals, for example, 149759979 + ... + 149760021.

Almost surely, 2^6439680000 is an apocalyptic number.

6439680000 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 6439680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12805572780).

6439680000 is an abundant number, since it is smaller than the sum of its proper divisors (19171465560).

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

6439680000 is a wasteful number, since it uses less digits than its factorization.

6439680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6439680000 is about 80247.6167870423. The cubic root of 6439680000 is about 1860.4646775193.

The spelling of 6439680000 in words is "six billion, four hundred thirty-nine million, six hundred eighty thousand".