6816387942 has 288 divisors, whose sum is σ = 19376308224. Its totient is φ = 1714608000.

The previous prime is 6816387923. The next prime is 6816387947. The reversal of 6816387942 is 2497836186.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6816387947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45141567 + ... + 45141717.

It is an arithmetic number, because the mean of its divisors is an integer number (67278848).

Almost surely, 2^6816387942 is an apocalyptic number.

6816387942 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6816387942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9688154112).

6816387942 is an abundant number, since it is smaller than the sum of its proper divisors (12559920282).

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

6816387942 is a wasteful number, since it uses less digits than its factorization.

6816387942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 334 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 6816387942 is about 82561.4192101856. The cubic root of 6816387942 is about 1896.0571923009.

The spelling of 6816387942 in words is "six billion, eight hundred sixteen million, three hundred eighty-seven thousand, nine hundred forty-two".