8227435216 has 320 divisors, whose sum is σ = 22494560256. Its totient is φ = 2811801600.

The previous prime is 8227435201. The next prime is 8227435259. The reversal of 8227435216 is 6125347228.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36244095 + ... + 36244321.

Almost surely, 2^8227435216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8227435216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11247280128).

8227435216 is an abundant number, since it is smaller than the sum of its proper divisors (14267125040).

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

8227435216 is a wasteful number, since it uses less digits than its factorization.

8227435216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 364 counting only the distinct ones).

The product of its digits is 161280, while the sum is 40.

The square root of 8227435216 is about 90705.2105228801. The cubic root of 8227435216 is about 2018.7761118637.

The spelling of 8227435216 in words is "eight billion, two hundred twenty-seven million, four hundred thirty-five thousand, two hundred sixteen".