6798734205120 has 672 divisors, whose sum is σ = 28332392855040. Its totient is φ = 1521391472640.

The previous prime is 6798734205101. The next prime is 6798734205139. The reversal of 6798734205120 is 215024378976.

It is a happy number.

6798734205120 is a `hidden beast` number, since 6 + 7 + 9 + 87 + 3 + 42 + 0 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6798734205101) and next prime (6798734205139).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 15850117 + ... + 16273403.

It is a 2-persistent number, because it is pandigital, and so is 2⋅6798734205120 = 13597468410240, but 3⋅6798734205120 = 20396202615360 is not.

Almost surely, 2^{6798734205120} is an apocalyptic number.

6798734205120 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 6798734205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14166196427520).

6798734205120 is an abundant number, since it is smaller than the sum of its proper divisors (21533658649920).

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

6798734205120 is a wasteful number, since it uses less digits than its factorization.

6798734205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423350 (or 423321 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 6798734205120 in words is "six trillion, seven hundred ninety-eight billion, seven hundred thirty-four million, two hundred five thousand, one hundred twenty".