6800734080 has 384 divisors, whose sum is σ = 27837089280. Its totient is φ = 1554204672.

The previous prime is 6800734079. The next prime is 6800734147. The reversal of 6800734080 is 804370086.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085517 + ... + 1091763.

It is an arithmetic number, because the mean of its divisors is an integer number (72492420).

Almost surely, 2^6800734080 is an apocalyptic number.

6800734080 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 6800734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13918544640).

6800734080 is an abundant number, since it is smaller than the sum of its proper divisors (21036355200).

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

6800734080 is an equidigital number, since it uses as much as digits as its factorization.

6800734080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288 (or 6264 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 6800734080 is about 82466.5634060254. The cubic root of 6800734080 is about 1894.6046455136.

The spelling of 6800734080 in words is "six billion, eight hundred million, seven hundred thirty-four thousand, eighty".