6800640000 has 960 divisors, whose sum is σ = 29474565120. Its totient is φ = 1351680000.

The previous prime is 6800639927. The next prime is 6800640031. The reversal of 6800640000 is 460086.

It is a tau number, because it is divible by the number of its divisors (960).

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 295679989 + ... + 295680011.

It is an arithmetic number, because the mean of its divisors is an integer number (30702672).

Almost surely, 2^6800640000 is an apocalyptic number.

6800640000 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 6800640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14737282560).

6800640000 is an abundant number, since it is smaller than the sum of its proper divisors (22673925120).

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

6800640000 is a wasteful number, since it uses less digits than its factorization.

6800640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 6800640000 is about 82465.9929910506. The cubic root of 6800640000 is about 1894.5959089457.

The spelling of 6800640000 in words is "six billion, eight hundred million, six hundred forty thousand".