6412814100 has 864 divisors, whose sum is σ = 26797784832. Its totient is φ = 1244160000.

The previous prime is 6412814033. The next prime is 6412814117. The reversal of 6412814100 is 14182146.

It is a happy number.

6412814100 is a `hidden beast` number, since 641 + 2 + 8 + 1 + 4 + 10 + 0 = 666.

It is a super-2 number, since 2×6412814100² = 82248369362317620000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 105128070 + ... + 105128130.

Almost surely, 2^6412814100 is an apocalyptic number.

6412814100 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 6412814100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13398892416).

6412814100 is an abundant number, since it is smaller than the sum of its proper divisors (20384970732).

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

6412814100 is a wasteful number, since it uses less digits than its factorization.

6412814100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 6412814100 is about 80080.0480769086. The cubic root of 6412814100 is about 1857.8738278625.

Adding to 6412814100 its reverse (14182146), we get a palindrome (6426996246).

The spelling of 6412814100 in words is "six billion, four hundred twelve million, eight hundred fourteen thousand, one hundred".