8347221792 has 288 divisors, whose sum is σ = 29622273408. Its totient is φ = 2170810368.

The previous prime is 8347221781. The next prime is 8347221821. The reversal of 8347221792 is 2971227438.

8347221792 is a `hidden beast` number, since 8 + 3 + 472 + 2 + 179 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×8347221792² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

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, 1911003 + ... + 1915365.

It is an arithmetic number, because the mean of its divisors is an integer number (102855116).

Almost surely, 2^8347221792 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 8347221792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14811136704).

8347221792 is an abundant number, since it is smaller than the sum of its proper divisors (21275051616).

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

8347221792 is a wasteful number, since it uses less digits than its factorization.

8347221792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4472 (or 4461 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The square root of 8347221792 is about 91363.1314699753. The cubic root of 8347221792 is about 2028.5263388812.

The spelling of 8347221792 in words is "eight billion, three hundred forty-seven million, two hundred twenty-one thousand, seven hundred ninety-two".