6802009344 has 324 divisors, whose sum is σ = 22057098336. Its totient is φ = 2089691136.

The previous prime is 6802009339. The next prime is 6802009381. The reversal of 6802009344 is 4439002086.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×6802009344² = 92534662231726620672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6802009299 and 6802009308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10512829 + ... + 10513475.

It is an arithmetic number, because the mean of its divisors is an integer number (68077464).

Almost surely, 2^6802009344 is an apocalyptic number.

6802009344 is a gapful number since it is divisible by the number (64) 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 6802009344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11028549168).

6802009344 is an abundant number, since it is smaller than the sum of its proper divisors (15255088992).

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

6802009344 is an equidigital number, since it uses as much as digits as its factorization.

6802009344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 6802009344 is about 82474.2950500336. The cubic root of 6802009344 is about 1894.7230626366.

The spelling of 6802009344 in words is "six billion, eight hundred two million, nine thousand, three hundred forty-four".