6412809216 has 352 divisors, whose sum is σ = 20072521728. Its totient is φ = 1800437760.

The previous prime is 6412809211. The next prime is 6412809217. The reversal of 6412809216 is 6129082146.

It is a tau number, because it is divible by the number of its divisors (352).

It is a super-2 number, since 2×6412809216² = 82248244081629069312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412809211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28756881 + ... + 28757103.

Almost surely, 2^6412809216 is an apocalyptic number.

6412809216 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 6412809216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036260864).

6412809216 is an abundant number, since it is smaller than the sum of its proper divisors (13659712512).

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

6412809216 is a wasteful number, since it uses less digits than its factorization.

6412809216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 6412809216 is about 80080.0175824157. The cubic root of 6412809216 is about 1857.8733562101.

The spelling of 6412809216 in words is "six billion, four hundred twelve million, eight hundred nine thousand, two hundred sixteen".