6816006144 has 228 divisors, whose sum is σ = 20610770544. Its totient is φ = 2250768384.

The previous prime is 6816006133. The next prime is 6816006181. The reversal of 6816006144 is 4416006186.

6816006144 is a `hidden beast` number, since 6 + 8 + 1 + 600 + 6 + 1 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6816006099 and 6816006108.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63700939 + ... + 63701045.

Almost surely, 2^6816006144 is an apocalyptic number.

6816006144 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6816006144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305385272).

6816006144 is an abundant number, since it is smaller than the sum of its proper divisors (13794764400).

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

6816006144 is an frugal number, since it uses more digits than its factorization.

6816006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6816006144 is about 82559.1069719144. The cubic root of 6816006144 is about 1896.0217911291.

The spelling of 6816006144 in words is "six billion, eight hundred sixteen million, six thousand, one hundred forty-four".