6412629366 has 96 divisors (see below), whose sum is σ = 16352088480. Its totient is φ = 1790553600.

The previous prime is 6412629319. The next prime is 6412629367. The reversal of 6412629366 is 6639262146.

6412629366 is a `hidden beast` number, since 6 + 4 + 12 + 629 + 3 + 6 + 6 = 666.

It is a super-2 number, since 2×6412629366² = 82243630771371123912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6412629367) 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, 1699530 + ... + 1703298.

It is an arithmetic number, because the mean of its divisors is an integer number (170334255).

Almost surely, 2^6412629366 is an apocalyptic number.

6412629366 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6412629366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8176044240).

6412629366 is an abundant number, since it is smaller than the sum of its proper divisors (9939459114).

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

6412629366 is a wasteful number, since it uses less digits than its factorization.

6412629366 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4462 (or 4459 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The square root of 6412629366 is about 80078.8946352283. The cubic root of 6412629366 is about 1857.8559877612.

The spelling of 6412629366 in words is "six billion, four hundred twelve million, six hundred twenty-nine thousand, three hundred sixty-six".