6429968856864 has 288 divisors, whose sum is σ = 21451182794496. Its totient is φ = 1788634275840.

The previous prime is 6429968856833. The next prime is 6429968856869. The reversal of 6429968856864 is 4686588699246.

6429968856864 is a `hidden beast` number, since 6 + 42 + 9 + 9 + 6 + 8 + 8 + 568 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (6429968856869) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 40173604 + ... + 40333340.

It is an arithmetic number, because the mean of its divisors is an integer number (74483273592).

Almost surely, 2^{6429968856864} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6429968856864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10725591397248).

6429968856864 is an abundant number, since it is smaller than the sum of its proper divisors (15021213937632).

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

6429968856864 is a wasteful number, since it uses less digits than its factorization.

6429968856864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160288 (or 160277 counting only the distinct ones).

The product of its digits is 8599633920, while the sum is 81.

The spelling of 6429968856864 in words is "six trillion, four hundred twenty-nine billion, nine hundred sixty-eight million, eight hundred fifty-six thousand, eight hundred sixty-four".