6412036584096 has 384 divisors, whose sum is σ = 21985999257600. Its totient is φ = 1792377953280.

The previous prime is 6412036584071. The next prime is 6412036584097. The reversal of 6412036584096 is 6904856302146.

6412036584096 is a `hidden beast` number, since 6 + 4 + 1 + 20 + 36 + 584 + 0 + 9 + 6 = 666.

It is a super-2 number, since 2×6412036584096² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6412036584097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193589425 + ... + 193622543.

It is an arithmetic number, because the mean of its divisors is an integer number (57255206400).

Almost surely, 2^{6412036584096} is an apocalyptic number.

6412036584096 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 6412036584096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10992999628800).

6412036584096 is an abundant number, since it is smaller than the sum of its proper divisors (15573962673504).

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

6412036584096 is a wasteful number, since it uses less digits than its factorization.

6412036584096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34729 (or 34715 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 6412036584096 in words is "six trillion, four hundred twelve billion, thirty-six million, five hundred eighty-four thousand, ninety-six".