6814668140 has 144 divisors (see below), whose sum is σ = 17216996832. Its totient is φ = 2257403904.

The previous prime is 6814668139. The next prime is 6814668149. The reversal of 6814668140 is 418664186.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6814668091 and 6814668100.

It is not an unprimeable number, because it can be changed into a prime (6814668149) 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, 5909804 + ... + 5910956.

It is an arithmetic number, because the mean of its divisors is an integer number (119562478).

Almost surely, 2^6814668140 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 6814668140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8608498416).

6814668140 is an abundant number, since it is smaller than the sum of its proper divisors (10402328692).

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

6814668140 is a wasteful number, since it uses less digits than its factorization.

6814668140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 6814668140 is about 82551.0032646485. The cubic root of 6814668140 is about 1895.8977179449.

The spelling of 6814668140 in words is "six billion, eight hundred fourteen million, six hundred sixty-eight thousand, one hundred forty".