6393993936 has 80 divisors (see below), whose sum is σ = 18037416960. Its totient is φ = 1935640960.

The previous prime is 6393993917. The next prime is 6393994027.

6393993936 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 6393993936.

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 15 ways as a sum of consecutive naturals, for example, 576895 + ... + 587873.

It is an arithmetic number, because the mean of its divisors is an integer number (225467712).

Almost surely, 2^6393993936 is an apocalyptic number.

6393993936 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 6393993936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9018708480).

6393993936 is an abundant number, since it is smaller than the sum of its proper divisors (11643423024).

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

6393993936 is a wasteful number, since it uses less digits than its factorization.

6393993936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104 (or 12098 counting only the distinct ones).

The product of its digits is 19131876, while the sum is 60.

The square root of 6393993936 is about 79962.4532890281. The cubic root of 6393993936 is about 1856.0545666800.

The spelling of 6393993936 in words is "six billion, three hundred ninety-three million, nine hundred ninety-three thousand, nine hundred thirty-six".