6729864960 has 288 divisors, whose sum is σ = 26454919680. Its totient is φ = 1419853824.

The previous prime is 6729864949. The next prime is 6729865003. The reversal of 6729864960 is 694689276.

It is a self number, because there is not a number n which added to its sum of digits gives 6729864960.

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 31 ways as a sum of consecutive naturals, for example, 339811 + ... + 359069.

It is an arithmetic number, because the mean of its divisors is an integer number (91857360).

Almost surely, 2^6729864960 is an apocalyptic number.

6729864960 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 6729864960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13227459840).

6729864960 is an abundant number, since it is smaller than the sum of its proper divisors (19725054720).

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

6729864960 is a wasteful number, since it uses less digits than its factorization.

6729864960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19303 (or 19289 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The square root of 6729864960 is about 82035.7541563433. The cubic root of 6729864960 is about 1888.0005506079. Note that the first 3 decimals are identical.

The spelling of 6729864960 in words is "six billion, seven hundred twenty-nine million, eight hundred sixty-four thousand, nine hundred sixty".