6814342080 has 896 divisors, whose sum is σ = 30232258560. Its totient is φ = 1424314368.

The previous prime is 6814342069. The next prime is 6814342127. The reversal of 6814342080 is 802434186.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63685387 + ... + 63685493.

It is an arithmetic number, because the mean of its divisors is an integer number (33741360).

Almost surely, 2^6814342080 is an apocalyptic number.

6814342080 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 6814342080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15116129280).

6814342080 is an abundant number, since it is smaller than the sum of its proper divisors (23417916480).

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

6814342080 is a wasteful number, since it uses less digits than its factorization.

6814342080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 6814342080 is about 82549.0283407382. The cubic root of 6814342080 is about 1895.8674799222.

The spelling of 6814342080 in words is "six billion, eight hundred fourteen million, three hundred forty-two thousand, eighty".