6818135040 has 704 divisors, whose sum is σ = 26285445120. Its totient is φ = 1672151040.

The previous prime is 6818135029. The next prime is 6818135117. The reversal of 6818135040 is 405318186.

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 = 6818134986 and 6818135004.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 158561259 + ... + 158561301.

It is an arithmetic number, because the mean of its divisors is an integer number (37337280).

Almost surely, 2^6818135040 is an apocalyptic number.

6818135040 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 6818135040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13142722560).

6818135040 is an abundant number, since it is smaller than the sum of its proper divisors (19467310080).

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

6818135040 is a wasteful number, since it uses less digits than its factorization.

6818135040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 6818135040 is about 82571.9991280337. Note that the first 3 decimals coincide. The cubic root of 6818135040 is about 1896.2191703055.

The spelling of 6818135040 in words is "six billion, eight hundred eighteen million, one hundred thirty-five thousand, forty".