6339864960 has 768 divisors, whose sum is σ = 26464838400. Its totient is φ = 1377976320.

The previous prime is 6339864959. The next prime is 6339864967. The reversal of 6339864960 is 694689336.

It is a happy number.

6339864960 is a `hidden beast` number, since 63 + 3 + 98 + 6 + 496 + 0 = 666.

It is a super-2 number, since 2×6339864960² = 80387775422071603200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6339864897 and 6339864906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6339864967) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35418151 + ... + 35418329.

It is an arithmetic number, because the mean of its divisors is an integer number (34459425).

Almost surely, 2^6339864960 is an apocalyptic number.

6339864960 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 6339864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13232419200).

6339864960 is an abundant number, since it is smaller than the sum of its proper divisors (20124973440).

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

6339864960 is a wasteful number, since it uses less digits than its factorization.

6339864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The square root of 6339864960 is about 79623.2689607755. The cubic root of 6339864960 is about 1850.8021804816.

The spelling of 6339864960 in words is "six billion, three hundred thirty-nine million, eight hundred sixty-four thousand, nine hundred sixty".