6818904000 has 560 divisors, whose sum is σ = 26753332320. Its totient is φ = 1708646400.

The previous prime is 6818903999. The next prime is 6818904007. The reversal of 6818904000 is 4098186.

It is a happy number.

It is a super-2 number, since 2×6818904000² = 92994903522432000000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6818904007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11015691 + ... + 11016309.

Almost surely, 2^6818904000 is an apocalyptic number.

6818904000 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 6818904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13376666160).

6818904000 is an abundant number, since it is smaller than the sum of its proper divisors (19934428320).

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

6818904000 is a wasteful number, since it uses less digits than its factorization.

6818904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 6818904000 is about 82576.6552967605. The cubic root of 6818904000 is about 1896.2904538198.

The spelling of 6818904000 in words is "six billion, eight hundred eighteen million, nine hundred four thousand".