8436032820 has 192 divisors, whose sum is σ = 27248256000. Its totient is φ = 2165253120.

The previous prime is 8436032797. The next prime is 8436032827. The reversal of 8436032820 is 282306348.

8436032820 is a `hidden beast` number, since 8 + 4 + 3 + 603 + 28 + 20 = 666.

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 (8436032827) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1545456 + ... + 1550904.

It is an arithmetic number, because the mean of its divisors is an integer number (141918000).

Almost surely, 2^8436032820 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 8436032820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13624128000).

8436032820 is an abundant number, since it is smaller than the sum of its proper divisors (18812223180).

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

8436032820 is a wasteful number, since it uses less digits than its factorization.

8436032820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5575 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 8436032820 is about 91847.8786908005. The cubic root of 8436032820 is about 2035.6952044432.

The spelling of 8436032820 in words is "eight billion, four hundred thirty-six million, thirty-two thousand, eight hundred twenty".