8219371200 has 84 divisors (see below), whose sum is σ = 26966402760. Its totient is φ = 2191831040.

The previous prime is 8219371189. The next prime is 8219371219. The reversal of 8219371200 is 21739128.

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 11 ways as a sum of consecutive naturals, for example, 851385 + ... + 860984.

Almost surely, 2^8219371200 is an apocalyptic number.

8219371200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8219371200 is an abundant number, since it is smaller than the sum of its proper divisors (18747031560).

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

8219371200 is a wasteful number, since it uses less digits than its factorization.

8219371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1712394 (or 1712379 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 8219371200 is about 90660.7478460221. The cubic root of 8219371200 is about 2018.1163370156.

The spelling of 8219371200 in words is "eight billion, two hundred nineteen million, three hundred seventy-one thousand, two hundred".