6873289916416 has 765 divisors, whose sum is σ = 18603571953183. Its totient is φ = 2536962785280.

The previous prime is 6873289916377. The next prime is 6873289916447. The reversal of 6873289916416 is 6146199823786.

It is a happy number.

The square root of 6873289916416 is 2621696.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×6873289916416² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 361752100855 + ... + 361752100873.

Almost surely, 2^{6873289916416} is an apocalyptic number.

6873289916416 is the 2621696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6873289916416

6873289916416 is an abundant number, since it is smaller than the sum of its proper divisors (11730282036767).

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

6873289916416 is an frugal number, since it uses more digits than its factorization.

6873289916416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 39 counting only the distinct ones).

The product of its digits is 188116992, while the sum is 70.

The spelling of 6873289916416 in words is "six trillion, eight hundred seventy-three billion, two hundred eighty-nine million, nine hundred sixteen thousand, four hundred sixteen".