6810420000 has 240 divisors, whose sum is σ = 22483802880. Its totient is φ = 1804416000.

The previous prime is 6810419989. The next prime is 6810420011. The reversal of 6810420000 is 240186.

It is an interprime number because it is at equal distance from previous prime (6810419989) and next prime (6810420011).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13379746 + ... + 13380254.

It is an arithmetic number, because the mean of its divisors is an integer number (93682512).

Almost surely, 2^6810420000 is an apocalyptic number.

6810420000 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 6810420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11241901440).

6810420000 is an abundant number, since it is smaller than the sum of its proper divisors (15673382880).

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

6810420000 is a wasteful number, since it uses less digits than its factorization.

6810420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 6810420000 is about 82525.2688574839. The cubic root of 6810420000 is about 1895.5036800193.

Adding to 6810420000 its reverse (240186), we get a palindrome (6810660186).

The spelling of 6810420000 in words is "six billion, eight hundred ten million, four hundred twenty thousand".