6814066140 has 384 divisors, whose sum is σ = 27007948800. Its totient is φ = 1388482560.

The previous prime is 6814066139. The next prime is 6814066141. The reversal of 6814066140 is 416604186.

It is an interprime number because it is at equal distance from previous prime (6814066139) and next prime (6814066141).

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

It is a junction number, because it is equal to n+sod(n) for n = 6814066095 and 6814066104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6814066141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1218150 + ... + 1223730.

It is an arithmetic number, because the mean of its divisors is an integer number (70333200).

Almost surely, 2^6814066140 is an apocalyptic number.

6814066140 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 6814066140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13503974400).

6814066140 is an abundant number, since it is smaller than the sum of its proper divisors (20193882660).

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

6814066140 is a wasteful number, since it uses less digits than its factorization.

6814066140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5642 (or 5634 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 6814066140 is about 82547.3569534482. The cubic root of 6814066140 is about 1895.8418891546.

The spelling of 6814066140 in words is "six billion, eight hundred fourteen million, sixty-six thousand, one hundred forty".