6823923360 has 384 divisors, whose sum is σ = 23484432384. Its totient is φ = 1660538880.

The previous prime is 6823923343. The next prime is 6823923371. The reversal of 6823923360 is 633293286.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 63 ways as a sum of consecutive naturals, for example, 43464402 + ... + 43464558.

It is an arithmetic number, because the mean of its divisors is an integer number (61157376).

Almost surely, 2^6823923360 is an apocalyptic number.

6823923360 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 6823923360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11742216192).

6823923360 is an abundant number, since it is smaller than the sum of its proper divisors (16660509024).

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

6823923360 is a wasteful number, since it uses less digits than its factorization.

6823923360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 42.

The square root of 6823923360 is about 82607.0418305849. The cubic root of 6823923360 is about 1896.7556229038.

The spelling of 6823923360 in words is "six billion, eight hundred twenty-three million, nine hundred twenty-three thousand, three hundred sixty".