6395775936 has 112 divisors (see below), whose sum is σ = 18640397568. Its totient is φ = 1919232000.

The previous prime is 6395775871. The next prime is 6395775959.

6395775936 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 6395775936.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202836 + ... + 232236.

Almost surely, 2^6395775936 is an apocalyptic number.

6395775936 is a gapful number since it is divisible by the number (66) 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 6395775936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9320198784).

6395775936 is an abundant number, since it is smaller than the sum of its proper divisors (12244621632).

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

6395775936 is a wasteful number, since it uses less digits than its factorization.

6395775936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29530 (or 29520 counting only the distinct ones).

The product of its digits is 32148900, while the sum is 60.

The square root of 6395775936 is about 79973.5952424299. The cubic root of 6395775936 is about 1856.2269775421.

The spelling of 6395775936 in words is "six billion, three hundred ninety-five million, seven hundred seventy-five thousand, nine hundred thirty-six".