12672476673408 has 256 divisors, whose sum is σ = 38256901401600. Its totient is φ = 4127819470848.

The previous prime is 12672476673403. The next prime is 12672476673413. The reversal of 12672476673408 is 80437667427621.

12672476673408 is a `hidden beast` number, since 1 + 2 + 6 + 72 + 476 + 67 + 34 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12672476673403) and next prime (12672476673413).

It is a super-3 number, since 3×12672476673408³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12672476673403) 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 31 ways as a sum of consecutive naturals, for example, 104383110 + ... + 104504442.

It is an arithmetic number, because the mean of its divisors is an integer number (149441021100).

Almost surely, 2^{12672476673408} is an apocalyptic number.

12672476673408 is a gapful number since it is divisible by the number (18) 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 12672476673408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19128450700800).

12672476673408 is an abundant number, since it is smaller than the sum of its proper divisors (25584424728192).

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

12672476673408 is a wasteful number, since it uses less digits than its factorization.

12672476673408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122046 (or 122028 counting only the distinct ones).

The product of its (nonzero) digits is 113799168, while the sum is 63.

The spelling of 12672476673408 in words is "twelve trillion, six hundred seventy-two billion, four hundred seventy-six million, six hundred seventy-three thousand, four hundred eight".