6395450160 has 480 divisors, whose sum is σ = 23416001280. Its totient is φ = 1438525440.

The previous prime is 6395450143. The next prime is 6395450209. The reversal of 6395450160 is 610545936.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 36967834 + ... + 36968006.

It is an arithmetic number, because the mean of its divisors is an integer number (48783336).

Almost surely, 2^6395450160 is an apocalyptic number.

6395450160 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 6395450160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11708000640).

6395450160 is an abundant number, since it is smaller than the sum of its proper divisors (17020551120).

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

6395450160 is a wasteful number, since it uses less digits than its factorization.

6395450160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 6395450160 is about 79971.5584442369. The cubic root of 6395450160 is about 1856.1954606747.

The spelling of 6395450160 in words is "six billion, three hundred ninety-five million, four hundred fifty thousand, one hundred sixty".