6814100000 has 72 divisors (see below), whose sum is σ = 16768247076. Its totient is φ = 2725600000.

The previous prime is 6814099973. The next prime is 6814100009. The reversal of 6814100000 is 14186.

It can be written as a sum of positive squares in 6 ways, for example, as 2946752656 + 3867347344 = 54284^2 + 62188^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (6814100009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65930 + ... + 134070.

Almost surely, 2^6814100000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6814100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8384123538).

6814100000 is an abundant number, since it is smaller than the sum of its proper divisors (9954147076).

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

6814100000 is an frugal number, since it uses more digits than its factorization.

6814100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68176 (or 68148 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 6814100000 is about 82547.5620475856. The cubic root of 6814100000 is about 1895.8450293795.

Adding to 6814100000 its reverse (14186), we get a palindrome (6814114186).

The spelling of 6814100000 in words is "six billion, eight hundred fourteen million, one hundred thousand".