6406829126208 has 672 divisors, whose sum is σ = 22120919009280. Its totient is φ = 1733347123200.

The previous prime is 6406829126171. The next prime is 6406829126209. The reversal of 6406829126208 is 8026219286046.

6406829126208 is a `hidden beast` number, since 6 + 4 + 0 + 6 + 8 + 2 + 9 + 1 + 2 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (6406829126209) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 7747072291 + ... + 7747073117.

It is an arithmetic number, because the mean of its divisors is an integer number (32918034240).

Almost surely, 2^{6406829126208} 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 6406829126208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11060459504640).

6406829126208 is an abundant number, since it is smaller than the sum of its proper divisors (15714089883072).

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

6406829126208 is a wasteful number, since it uses less digits than its factorization.

6406829126208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1615 (or 1602 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 6406829126208 in words is "six trillion, four hundred six billion, eight hundred twenty-nine million, one hundred twenty-six thousand, two hundred eight".