6798234206400 has 2688 divisors, whose sum is σ = 29394385305600. Its totient is φ = 1365590016000.

The previous prime is 6798234206399. The next prime is 6798234206443. The reversal of 6798234206400 is 46024328976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53529403137 + ... + 53529403263.

It is an arithmetic number, because the mean of its divisors is an integer number (10935411200).

Almost surely, 2^{6798234206400} is an apocalyptic number.

6798234206400 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 6798234206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14697192652800).

6798234206400 is an abundant number, since it is smaller than the sum of its proper divisors (22596151099200).

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

6798234206400 is a wasteful number, since it uses less digits than its factorization.

6798234206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 6798234206400 in words is "six trillion, seven hundred ninety-eight billion, two hundred thirty-four million, two hundred six thousand, four hundred".