6814082100 has 432 divisors, whose sum is σ = 24951736320. Its totient is φ = 1426118400.

The previous prime is 6814082083. The next prime is 6814082101. The reversal of 6814082100 is 12804186.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814082101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8657907 + ... + 8658693.

Almost surely, 2^6814082100 is an apocalyptic number.

6814082100 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 6814082100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12475868160).

6814082100 is an abundant number, since it is smaller than the sum of its proper divisors (18137654220).

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

6814082100 is a wasteful number, since it uses less digits than its factorization.

6814082100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 6814082100 is about 82547.4536251725. The cubic root of 6814082100 is about 1895.8433693091.

Adding to 6814082100 its reverse (12804186), we get a palindrome (6826886286).

The spelling of 6814082100 in words is "six billion, eight hundred fourteen million, eighty-two thousand, one hundred".