6412643328 has 528 divisors, whose sum is σ = 22346362080. Its totient is φ = 1618477056.

The previous prime is 6412643327. The next prime is 6412643339. The reversal of 6412643328 is 8233462146.

It is a super-2 number, since 2×6412643328² = 82243988904285831168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (165888) is a multiple of the sum of its prime factors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412643327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56749000 + ... + 56749112.

Almost surely, 2^6412643328 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 6412643328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173181040).

6412643328 is an abundant number, since it is smaller than the sum of its proper divisors (15933718752).

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

6412643328 is a wasteful number, since it uses less digits than its factorization.

6412643328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 167 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 6412643328 is about 80078.9818117089. The cubic root of 6412643328 is about 1857.8573361091.

The spelling of 6412643328 in words is "six billion, four hundred twelve million, six hundred forty-three thousand, three hundred twenty-eight".