6497795200 has 192 divisors, whose sum is σ = 17457085800. Its totient is φ = 2375516160.

The previous prime is 6497795179. The next prime is 6497795203. The reversal of 6497795200 is 25977946.

It can be written as a sum of positive squares in 12 ways, for example, as 708411456 + 5789383744 = 26616^2 + 76088^2 .

It is a super-2 number, since 2×6497795200² = 84442684922286080000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (6497795203) 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 23 ways as a sum of consecutive naturals, for example, 4533684 + ... + 4535116.

Almost surely, 2^6497795200 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 6497795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728542900).

6497795200 is an abundant number, since it is smaller than the sum of its proper divisors (10959290600).

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

6497795200 is a wasteful number, since it uses less digits than its factorization.

6497795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1579 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

The square root of 6497795200 is about 80608.9027341273. The cubic root of 6497795200 is about 1866.0445432484.

The spelling of 6497795200 in words is "six billion, four hundred ninety-seven million, seven hundred ninety-five thousand, two hundred".