6798928298976 has 144 divisors (see below), whose sum is σ = 21449624152320. Its totient is φ = 2025361224960.

The previous prime is 6798928298963. The next prime is 6798928299043.

It is a happy number.

6798928298976 is a `hidden beast` number, since 67 + 98 + 92 + 8 + 298 + 97 + 6 = 666.

6798928298976 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18000600 + ... + 18374423.

It is an arithmetic number, because the mean of its divisors is an integer number (148955723280).

Almost surely, 2^{6798928298976} is an apocalyptic number.

6798928298976 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

6798928298976 is an abundant number, since it is smaller than the sum of its proper divisors (14650695853344).

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

6798928298976 is a wasteful number, since it uses less digits than its factorization.

6798928298976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36375109 (or 36375098 counting only the distinct ones).

The product of its digits is 23702740992, while the sum is 90.

The spelling of 6798928298976 in words is "six trillion, seven hundred ninety-eight billion, nine hundred twenty-eight million, two hundred ninety-eight thousand, nine hundred seventy-six".