8249036544 has 288 divisors, whose sum is σ = 28844928000. Its totient is φ = 2275209216.

The previous prime is 8249036519. The next prime is 8249036569. The reversal of 8249036544 is 4456309428.

8249036544 is a `hidden beast` number, since 8 + 249 + 0 + 365 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (8249036519) and next prime (8249036569).

It is a tau number, because it is divible by the number of its divisors (288).

It is a self number, because there is not a number n which added to its sum of digits gives 8249036544.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1400197 + ... + 1406075.

It is an arithmetic number, because the mean of its divisors is an integer number (100156000).

Almost surely, 2^8249036544 is an apocalyptic number.

8249036544 is a gapful number since it is divisible by the number (84) 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 8249036544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14422464000).

8249036544 is an abundant number, since it is smaller than the sum of its proper divisors (20595891456).

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

8249036544 is a wasteful number, since it uses less digits than its factorization.

8249036544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5940 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The square root of 8249036544 is about 90824.2068173458. The cubic root of 8249036544 is about 2020.5413495329.

The spelling of 8249036544 in words is "eight billion, two hundred forty-nine million, thirty-six thousand, five hundred forty-four".