8533736500 has 144 divisors (see below), whose sum is σ = 20094525360. Its totient is φ = 3164774400.

The previous prime is 8533736479. The next prime is 8533736503. The reversal of 8533736500 is 56373358.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 4779233424 + 3754503076 = 69132^2 + 61274^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8533736503) 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 47 ways as a sum of consecutive naturals, for example, 10548096 + ... + 10548904.

It is an arithmetic number, because the mean of its divisors is an integer number (139545315).

Almost surely, 2^8533736500 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 8533736500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10047262680).

8533736500 is an abundant number, since it is smaller than the sum of its proper divisors (11560788860).

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

8533736500 is a wasteful number, since it uses less digits than its factorization.

8533736500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 935 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 40.

The square root of 8533736500 is about 92378.2252481612. The cubic root of 8533736500 is about 2043.5240015447.

It can be divided in two parts, 85 and 33736500, that multiplied together give a square (2867602500 = 53550²).

The spelling of 8533736500 in words is "eight billion, five hundred thirty-three million, seven hundred thirty-six thousand, five hundred".