6503528240 has 320 divisors, whose sum is σ = 18223833600. Its totient is φ = 2132582400.

The previous prime is 6503528131. The next prime is 6503528243. The reversal of 6503528240 is 428253056.

It is a self number, because there is not a number n which added to its sum of digits gives 6503528240.

It is not an unprimeable number, because it can be changed into a prime (6503528243) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 36332471 + ... + 36332649.

It is an arithmetic number, because the mean of its divisors is an integer number (56949480).

Almost surely, 2^6503528240 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 6503528240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9111916800).

6503528240 is an abundant number, since it is smaller than the sum of its proper divisors (11720305360).

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

6503528240 is a wasteful number, since it uses less digits than its factorization.

6503528240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 35.

The square root of 6503528240 is about 80644.4557300748. The cubic root of 6503528240 is about 1866.5931890012.

The spelling of 6503528240 in words is "six billion, five hundred three million, five hundred twenty-eight thousand, two hundred forty".