8219143680 has 640 divisors, whose sum is σ = 31183004160. Its totient is φ = 1824522240.

The previous prime is 8219143649. The next prime is 8219143687. The reversal of 8219143680 is 863419128.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8219143687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84733392 + ... + 84733488.

It is an arithmetic number, because the mean of its divisors is an integer number (48723444).

Almost surely, 2^8219143680 is an apocalyptic number.

8219143680 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 8219143680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15591502080).

8219143680 is an abundant number, since it is smaller than the sum of its proper divisors (22963860480).

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

8219143680 is a wasteful number, since it uses less digits than its factorization.

8219143680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 8219143680 is about 90659.4930495423. The cubic root of 8219143680 is about 2018.0977157182.

The spelling of 8219143680 in words is "eight billion, two hundred nineteen million, one hundred forty-three thousand, six hundred eighty".