8240544000 has 864 divisors, whose sum is σ = 33427150848. Its totient is φ = 1935360000.

The previous prime is 8240543959. The next prime is 8240544001. The reversal of 8240544000 is 4450428.

8240544000 is a `hidden beast` number, since 82 + 40 + 544 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8240544001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 116063965 + ... + 116064035.

It is an arithmetic number, because the mean of its divisors is an integer number (38688832).

Almost surely, 2^8240544000 is an apocalyptic number.

8240544000 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 8240544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16713575424).

8240544000 is an abundant number, since it is smaller than the sum of its proper divisors (25186606848).

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

8240544000 is a wasteful number, since it uses less digits than its factorization.

8240544000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 8240544000 is about 90777.4421318424. The cubic root of 8240544000 is about 2019.8477158669.

Adding to 8240544000 its reverse (4450428), we get a palindrome (8244994428).

The spelling of 8240544000 in words is "eight billion, two hundred forty million, five hundred forty-four thousand".