6415384256 has 56 divisors (see below), whose sum is σ = 12971824704. Its totient is φ = 3147468800.

The previous prime is 6415384253. The next prime is 6415384259. The reversal of 6415384256 is 6524835146.

It is an interprime number because it is at equal distance from previous prime (6415384253) and next prime (6415384259).

It is not an unprimeable number, because it can be changed into a prime (6415384253) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 726041 + ... + 734823.

Almost surely, 2^6415384256 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 6415384256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6485912352).

6415384256 is an abundant number, since it is smaller than the sum of its proper divisors (6556440448).

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

6415384256 is a wasteful number, since it uses less digits than its factorization.

6415384256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9009 (or 8999 counting only the distinct ones).

The product of its digits is 691200, while the sum is 44.

The square root of 6415384256 is about 80096.0938872802. The cubic root of 6415384256 is about 1858.1219970081.

The spelling of 6415384256 in words is "six billion, four hundred fifteen million, three hundred eighty-four thousand, two hundred fifty-six".