8221973760 has 1728 divisors, whose sum is σ = 41141108736. Its totient is φ = 1459814400.

The previous prime is 8221973741. The next prime is 8221973779. The reversal of 8221973760 is 673791228.

It is an interprime number because it is at equal distance from previous prime (8221973741) and next prime (8221973779).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265224945 + ... + 265224975.

It is an arithmetic number, because the mean of its divisors is an integer number (23808512).

Almost surely, 2^8221973760 is an apocalyptic number.

8221973760 is a gapful number since it is divisible by the number (80) 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 8221973760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20570554368).

8221973760 is an abundant number, since it is smaller than the sum of its proper divisors (32919134976).

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

8221973760 is a wasteful number, since it uses less digits than its factorization.

8221973760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 8221973760 is about 90675.0999999449. The cubic root of 8221973760 is about 2018.3293182145.

The spelling of 8221973760 in words is "eight billion, two hundred twenty-one million, nine hundred seventy-three thousand, seven hundred sixty".