6814068000 has 384 divisors, whose sum is σ = 23304153600. Its totient is φ = 1739059200.

The previous prime is 6814067989. The next prime is 6814068011. The reversal of 6814068000 is 8604186.

It is an interprime number because it is at equal distance from previous prime (6814067989) and next prime (6814068011).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45731926 + ... + 45732074.

It is an arithmetic number, because the mean of its divisors is an integer number (60687900).

Almost surely, 2^6814068000 is an apocalyptic number.

6814068000 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 6814068000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11652076800).

6814068000 is an abundant number, since it is smaller than the sum of its proper divisors (16490085600).

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

6814068000 is a wasteful number, since it uses less digits than its factorization.

6814068000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 6814068000 is about 82547.3682197076. The cubic root of 6814068000 is about 1895.8420616539.

The spelling of 6814068000 in words is "six billion, eight hundred fourteen million, sixty-eight thousand".