6816240000 has 240 divisors, whose sum is σ = 24512794020. Its totient is φ = 1817472000.

The previous prime is 6816239999. The next prime is 6816240007. The reversal of 6816240000 is 426186.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×6816240000² = 92922255475200000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6816240007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 715267 + ... + 724733.

Almost surely, 2^6816240000 is an apocalyptic number.

6816240000 is a gapful number since it is divisible by the number (60) 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 6816240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12256397010).

6816240000 is an abundant number, since it is smaller than the sum of its proper divisors (17696554020).

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

6816240000 is an equidigital number, since it uses as much as digits as its factorization.

6816240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9507 (or 9477 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 6816240000 is about 82560.5232541558. The cubic root of 6816240000 is about 1896.0434749418.

Adding to 6816240000 its reverse (426186), we get a palindrome (6816666186).

The spelling of 6816240000 in words is "six billion, eight hundred sixteen million, two hundred forty thousand".