6816212826192 has 1440 divisors, whose sum is σ = 25909629677568. Its totient is φ = 1714608000000.

The previous prime is 6816212826187. The next prime is 6816212826239. The reversal of 6816212826192 is 2916282126186.

6816212826192 is a `hidden beast` number, since 6 + 8 + 1 + 6 + 2 + 12 + 8 + 2 + 619 + 2 = 666.

It is a super-3 number, since 3×6816212826192³ (a number of 39 digits) contains 333 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 9076181817 + ... + 9076182567.

Almost surely, 2^{6816212826192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6816212826192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12954814838784).

6816212826192 is an abundant number, since it is smaller than the sum of its proper divisors (19093416851376).

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

6816212826192 is a wasteful number, since it uses less digits than its factorization.

6816212826192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 906 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 6816212826192 in words is "six trillion, eight hundred sixteen billion, two hundred twelve million, eight hundred twenty-six thousand, one hundred ninety-two".