8221000068 has 168 divisors, whose sum is σ = 22093639680. Its totient is φ = 2674788480.

The previous prime is 8221000061. The next prime is 8221000079. The reversal of 8221000068 is 8600001228.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8221000061) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 29256088 + ... + 29256368.

It is an arithmetic number, because the mean of its divisors is an integer number (131509760).

Almost surely, 2^8221000068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8221000068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11046819840).

8221000068 is an abundant number, since it is smaller than the sum of its proper divisors (13872639612).

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

8221000068 is a wasteful number, since it uses less digits than its factorization.

8221000068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 8221000068 is about 90669.7307153826. The cubic root of 8221000068 is about 2018.2496411300.

The spelling of 8221000068 in words is "eight billion, two hundred twenty-one million, sixty-eight", and thus it is an aban number.