6814142860 has 144 divisors (see below), whose sum is σ = 17469381888. Its totient is φ = 2223244800.

The previous prime is 6814142831. The next prime is 6814142869. The reversal of 6814142860 is 682414186.

It is not an unprimeable number, because it can be changed into a prime (6814142869) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1851342 + ... + 1855018.

It is an arithmetic number, because the mean of its divisors is an integer number (121315152).

Almost surely, 2^6814142860 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 6814142860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8734690944).

6814142860 is an abundant number, since it is smaller than the sum of its proper divisors (10655239028).

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

6814142860 is a wasteful number, since it uses less digits than its factorization.

6814142860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3792 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 6814142860 is about 82547.8216550867. The cubic root of 6814142860 is about 1895.8490042623.

The spelling of 6814142860 in words is "six billion, eight hundred fourteen million, one hundred forty-two thousand, eight hundred sixty".