6395106240 has 168 divisors, whose sum is σ = 23290590960. Its totient is φ = 1605033984.

The previous prime is 6395106239. The next prime is 6395106253. The reversal of 6395106240 is 426015936.

It is a happy number.

6395106240 is a `hidden beast` number, since 639 + 5 + 10 + 6 + 2 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 6395106195 and 6395106204.

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 23 ways as a sum of consecutive naturals, for example, 16350 + ... + 114269.

It is an arithmetic number, because the mean of its divisors is an integer number (138634470).

Almost surely, 2^6395106240 is an apocalyptic number.

6395106240 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 6395106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11645295480).

6395106240 is an abundant number, since it is smaller than the sum of its proper divisors (16895484720).

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

6395106240 is a wasteful number, since it uses less digits than its factorization.

6395106240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130659 (or 130646 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 6395106240 is about 79969.4081508673. The cubic root of 6395106240 is about 1856.1621873230.

The spelling of 6395106240 in words is "six billion, three hundred ninety-five million, one hundred six thousand, two hundred forty".