8226947736 has 192 divisors, whose sum is σ = 26576659200. Its totient is φ = 2335506048.

The previous prime is 8226947723. The next prime is 8226947761. The reversal of 8226947736 is 6377496228.

8226947736 is a `hidden beast` number, since 82 + 2 + 69 + 477 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is a congruent 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, 2216250 + ... + 2219958.

It is an arithmetic number, because the mean of its divisors is an integer number (138420100).

Almost surely, 2^8226947736 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 8226947736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13288329600).

8226947736 is an abundant number, since it is smaller than the sum of its proper divisors (18349711464).

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

8226947736 is a wasteful number, since it uses less digits than its factorization.

8226947736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3900 (or 3884 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The square root of 8226947736 is about 90702.5233166090. The cubic root of 8226947736 is about 2018.7362398829.

The spelling of 8226947736 in words is "eight billion, two hundred twenty-six million, nine hundred forty-seven thousand, seven hundred thirty-six".