6820871112720 has 180 divisors, whose sum is σ = 26646637949100. Its totient is φ = 1559056246272.

The previous prime is 6820871112703. The next prime is 6820871112733. The reversal of 6820871112720 is 272111780286.

6820871112720 is a `hidden beast` number, since 68 + 208 + 7 + 111 + 272 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4042608869376 + 2778262243344 = 2010624^2 + 1666812^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 96632395 + ... + 96702954.

It is an arithmetic number, because the mean of its divisors is an integer number (148036877495).

Almost surely, 2^{6820871112720} is an apocalyptic number.

6820871112720 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6820871112720 is an abundant number, since it is smaller than the sum of its proper divisors (19825766836380).

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

6820871112720 is a wasteful number, since it uses less digits than its factorization.

6820871112720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193335382 (or 193335366 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 6820871112720 in words is "six trillion, eight hundred twenty billion, eight hundred seventy-one million, one hundred twelve thousand, seven hundred twenty".