8465704272 has 120 divisors (see below), whose sum is σ = 24312980328. Its totient is φ = 2749847040.

The previous prime is 8465704259. The next prime is 8465704279. The reversal of 8465704272 is 2724075648.

It is a happy number.

8465704272 is a `hidden beast` number, since 8 + 4 + 6 + 570 + 4 + 2 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6841936656 + 1623767616 = 82716^2 + 40296^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8465704279) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9924198 + ... + 9925050.

Almost surely, 2^8465704272 is an apocalyptic number.

8465704272 is a gapful number since it is divisible by the number (82) 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 8465704272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12156490164).

8465704272 is an abundant number, since it is smaller than the sum of its proper divisors (15847276056).

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

8465704272 is an equidigital number, since it uses as much as digits as its factorization.

8465704272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 45.

The square root of 8465704272 is about 92009.2618816171. The cubic root of 8465704272 is about 2038.0790798965.

The spelling of 8465704272 in words is "eight billion, four hundred sixty-five million, seven hundred four thousand, two hundred seventy-two".