8221449600 has 576 divisors, whose sum is σ = 36117375840. Its totient is φ = 1734082560.

The previous prime is 8221449589. The next prime is 8221449637. The reversal of 8221449600 is 69441228.

8221449600 is a `hidden beast` number, since 8 + 2 + 2 + 1 + 4 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2619232 + ... + 2622368.

Almost surely, 2^8221449600 is an apocalyptic number.

8221449600 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 8221449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18058687920).

8221449600 is an abundant number, since it is smaller than the sum of its proper divisors (27895926240).

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

8221449600 is a wasteful number, since it uses less digits than its factorization.

8221449600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3187 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 8221449600 is about 90672.2096344850. The cubic root of 8221449600 is about 2018.2864270544.

It can be divided in two parts, 822144 and 9600, that added together give a square (831744 = 912²).

The spelling of 8221449600 in words is "eight billion, two hundred twenty-one million, four hundred forty-nine thousand, six hundred".