6522506640 has 640 divisors, whose sum is σ = 25598361600. Its totient is φ = 1515386880.

The previous prime is 6522506629. The next prime is 6522506647. The reversal of 6522506640 is 466052256.

6522506640 is a `hidden beast` number, since 6 + 5 + 2 + 2 + 5 + 0 + 6 + 640 = 666.

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 = 6522506595 and 6522506604.

It is not an unprimeable number, because it can be changed into a prime (6522506647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 51358257 + ... + 51358383.

It is an arithmetic number, because the mean of its divisors is an integer number (39997440).

Almost surely, 2^6522506640 is an apocalyptic number.

6522506640 is a gapful number since it is divisible by the number (60) 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 6522506640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12799180800).

6522506640 is an abundant number, since it is smaller than the sum of its proper divisors (19075854960).

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

6522506640 is a wasteful number, since it uses less digits than its factorization.

6522506640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 6522506640 is about 80762.0371214100. The cubic root of 6522506640 is about 1868.4071043587.

Adding to 6522506640 its reverse (466052256), we get a palindrome (6988558896).

The spelling of 6522506640 in words is "six billion, five hundred twenty-two million, five hundred six thousand, six hundred forty".