6814208640 has 128 divisors (see below), whose sum is σ = 22863585600. Its totient is φ = 1721475072.

The previous prime is 6814208591. The next prime is 6814208641. The reversal of 6814208640 is 468024186.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (6814208641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56917 + ... + 129876.

Almost surely, 2^6814208640 is an apocalyptic number.

6814208640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6814208640 is an abundant number, since it is smaller than the sum of its proper divisors (16049376960).

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

6814208640 is a wasteful number, since it uses less digits than its factorization.

6814208640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186834 (or 186822 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 6814208640 is about 82548.2200898360. The cubic root of 6814208640 is about 1895.8551047384.

The spelling of 6814208640 in words is "six billion, eight hundred fourteen million, two hundred eight thousand, six hundred forty".