6872473695168 has 112 divisors (see below), whose sum is σ = 20207142537120. Its totient is φ = 2290445568000.

The previous prime is 6872473695167. The next prime is 6872473695173. The reversal of 6872473695168 is 8615963742786.

6872473695168 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 47 + 3 + 69 + 516 + 8 = 666.

It is a super-2 number, since 2×6872473695168² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 6872473695096 and 6872473695105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6872473695167) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10216588 + ... + 10868468.

It is an arithmetic number, because the mean of its divisors is an integer number (180420915510).

Almost surely, 2^{6872473695168} is an apocalyptic number.

It is an amenable number.

6872473695168 is an abundant number, since it is smaller than the sum of its proper divisors (13334668841952).

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

6872473695168 is a wasteful number, since it uses less digits than its factorization.

6872473695168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 658003 (or 657987 counting only the distinct ones).

The product of its digits is 731566080, while the sum is 72.

The spelling of 6872473695168 in words is "six trillion, eight hundred seventy-two billion, four hundred seventy-three million, six hundred ninety-five thousand, one hundred sixty-eight".