6382413952 has 64 divisors (see below), whose sum is σ = 12875990400. Its totient is φ = 3150987264.

The previous prime is 6382413949. The next prime is 6382413959. The reversal of 6382413952 is 2593142836.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 6382413899 and 6382413908.

It is not an unprimeable number, because it can be changed into a prime (6382413959) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7606749 + ... + 7607587.

It is an arithmetic number, because the mean of its divisors is an integer number (201187350).

Almost surely, 2^6382413952 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 6382413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6437995200).

6382413952 is an abundant number, since it is smaller than the sum of its proper divisors (6493576448).

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

6382413952 is a wasteful number, since it uses less digits than its factorization.

6382413952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1533 (or 1521 counting only the distinct ones).

The product of its digits is 311040, while the sum is 43.

The square root of 6382413952 is about 79890.0115909367. The cubic root of 6382413952 is about 1854.9334066953.

The spelling of 6382413952 in words is "six billion, three hundred eighty-two million, four hundred thirteen thousand, nine hundred fifty-two".