8219673600 has 528 divisors, whose sum is σ = 29484660480. Its totient is φ = 2012774400.

The previous prime is 8219673569. The next prime is 8219673641. The reversal of 8219673600 is 63769128.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62745535 + ... + 62745665.

It is an arithmetic number, because the mean of its divisors is an integer number (55842160).

Almost surely, 2^8219673600 is an apocalyptic number.

8219673600 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 8219673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14742330240).

8219673600 is an abundant number, since it is smaller than the sum of its proper divisors (21264986880).

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

8219673600 is a wasteful number, since it uses less digits than its factorization.

8219673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 8219673600 is about 90662.4155866145. The cubic root of 8219673600 is about 2018.1410863093.

The spelling of 8219673600 in words is "eight billion, two hundred nineteen million, six hundred seventy-three thousand, six hundred".