8436273120 has 720 divisors, whose sum is σ = 34982983728. Its totient is φ = 1892229120.

The previous prime is 8436273091. The next prime is 8436273127. The reversal of 8436273120 is 213726348.

It is a happy number.

8436273120 is a `hidden beast` number, since 8 + 4 + 3 + 627 + 3 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8436273127) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 142987651 + ... + 142987709.

Almost surely, 2^8436273120 is an apocalyptic number.

8436273120 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 8436273120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17491491864).

8436273120 is an abundant number, since it is smaller than the sum of its proper divisors (26546710608).

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

8436273120 is a wasteful number, since it uses less digits than its factorization.

8436273120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 8436273120 is about 91849.1868227476. The cubic root of 8436273120 is about 2035.7145331539.

Adding to 8436273120 its reverse (213726348), we get a palindrome (8649999468).

The spelling of 8436273120 in words is "eight billion, four hundred thirty-six million, two hundred seventy-three thousand, one hundred twenty".