6495897600 has 576 divisors, whose sum is σ = 24698419200. Its totient is φ = 1672151040.

The previous prime is 6495897571. The next prime is 6495897647. The reversal of 6495897600 is 67985946.

6495897600 is a `hidden beast` number, since 6 + 495 + 8 + 97 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51148737 + ... + 51148863.

It is an arithmetic number, because the mean of its divisors is an integer number (42879200).

Almost surely, 2^6495897600 is an apocalyptic number.

6495897600 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 6495897600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12349209600).

6495897600 is an abundant number, since it is smaller than the sum of its proper divisors (18202521600).

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

6495897600 is a wasteful number, since it uses less digits than its factorization.

6495897600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 6495897600 is about 80597.1314626023. The cubic root of 6495897600 is about 1865.8628738885.

The spelling of 6495897600 in words is "six billion, four hundred ninety-five million, eight hundred ninety-seven thousand, six hundred".