6802864320 has 224 divisors, whose sum is σ = 25287768576. Its totient is φ = 1516953600.

The previous prime is 6802864309. The next prime is 6802864351. The reversal of 6802864320 is 234682086.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 263175 + ... + 287865.

It is an arithmetic number, because the mean of its divisors is an integer number (112891824).

Almost surely, 2^6802864320 is an apocalyptic number.

6802864320 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 6802864320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12643884288).

6802864320 is an abundant number, since it is smaller than the sum of its proper divisors (18484904256).

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

6802864320 is a wasteful number, since it uses less digits than its factorization.

6802864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24759 (or 24749 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 6802864320 is about 82479.4781748769. The cubic root of 6802864320 is about 1894.8024448111.

The spelling of 6802864320 in words is "six billion, eight hundred two million, eight hundred sixty-four thousand, three hundred twenty".