6822248160 has 384 divisors, whose sum is σ = 26587008000. Its totient is φ = 1431945216.

The previous prime is 6822248149. The next prime is 6822248179. The reversal of 6822248160 is 618422286.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 13671591 + ... + 13672089.

It is an arithmetic number, because the mean of its divisors is an integer number (69237000).

Almost surely, 2^6822248160 is an apocalyptic number.

6822248160 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 6822248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13293504000).

6822248160 is an abundant number, since it is smaller than the sum of its proper divisors (19764759840).

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

6822248160 is a wasteful number, since it uses less digits than its factorization.

6822248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 6822248160 is about 82596.9016368048. The cubic root of 6822248160 is about 1896.6003991468.

The spelling of 6822248160 in words is "six billion, eight hundred twenty-two million, two hundred forty-eight thousand, one hundred sixty".