8144504640 has 196 divisors, whose sum is σ = 29078683524. Its totient is φ = 2171805696.

The previous prime is 8144504633. The next prime is 8144504659. The reversal of 8144504640 is 464054418.

It is a happy number.

8144504640 is a `hidden beast` number, since 8 + 1 + 4 + 4 + 5 + 0 + 4 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3426463296 + 4718041344 = 58536^2 + 68688^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 8144504595 and 8144504604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 215824 + ... + 250736.

Almost surely, 2^8144504640 is an apocalyptic number.

8144504640 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 8144504640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14539341762).

8144504640 is an abundant number, since it is smaller than the sum of its proper divisors (20934178884).

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

8144504640 is an equidigital number, since it uses as much as digits as its factorization.

8144504640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34948 (or 34923 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 8144504640 is about 90246.9093099592. The cubic root of 8144504640 is about 2011.9702667580.

The spelling of 8144504640 in words is "eight billion, one hundred forty-four million, five hundred four thousand, six hundred forty".