6818951040 has 256 divisors, whose sum is σ = 24960787200. Its totient is φ = 1565982720.

The previous prime is 6818950997. The next prime is 6818951057. The reversal of 6818951040 is 401598186.

It is a junction number, because it is equal to n+sod(n) for n = 6818950983 and 6818951001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 392784 + ... + 409776.

It is an arithmetic number, because the mean of its divisors is an integer number (97503075).

Almost surely, 2^6818951040 is an apocalyptic number.

6818951040 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 6818951040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12480393600).

6818951040 is an abundant number, since it is smaller than the sum of its proper divisors (18141836160).

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

6818951040 is a wasteful number, since it uses less digits than its factorization.

6818951040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17045 (or 17033 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The square root of 6818951040 is about 82576.9401225306. The cubic root of 6818951040 is about 1896.2948143103.

The spelling of 6818951040 in words is "six billion, eight hundred eighteen million, nine hundred fifty-one thousand, forty".