6495577920 has 560 divisors, whose sum is σ = 25604864208. Its totient is φ = 1552711680.

The previous prime is 6495577909. The next prime is 6495577927. The reversal of 6495577920 is 297755946.

6495577920 is a `hidden beast` number, since 6 + 49 + 5 + 577 + 9 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 142850304 + 6352727616 = 11952^2 + 79704^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6495577927) 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 79 ways as a sum of consecutive naturals, for example, 12467260 + ... + 12467780.

Almost surely, 2^6495577920 is an apocalyptic number.

6495577920 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 6495577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12802432104).

6495577920 is an abundant number, since it is smaller than the sum of its proper divisors (19109286288).

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

6495577920 is a wasteful number, since it uses less digits than its factorization.

6495577920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 6495577920 is about 80595.1482410697. The cubic root of 6495577920 is about 1865.8322653996.

The spelling of 6495577920 in words is "six billion, four hundred ninety-five million, five hundred seventy-seven thousand, nine hundred twenty".