6798434125824 has 576 divisors, whose sum is σ = 22686961489920. Its totient is φ = 2016222658560.

The previous prime is 6798434125757. The next prime is 6798434125849. The reversal of 6798434125824 is 4285214348976.

6798434125824 is a `hidden beast` number, since 6 + 7 + 9 + 8 + 4 + 3 + 41 + 2 + 582 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257279077 + ... + 257305499.

It is an arithmetic number, because the mean of its divisors is an integer number (39387085920).

Almost surely, 2^{6798434125824} is an apocalyptic number.

6798434125824 is a gapful number since it is divisible by the number (64) 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 6798434125824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11343480744960).

6798434125824 is an abundant number, since it is smaller than the sum of its proper divisors (15888527364096).

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

6798434125824 is a wasteful number, since it uses less digits than its factorization.

6798434125824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26518 (or 26486 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 63.

The spelling of 6798434125824 in words is "six trillion, seven hundred ninety-eight billion, four hundred thirty-four million, one hundred twenty-five thousand, eight hundred twenty-four".