128673607680 has 468 divisors, whose sum is σ = 455659498008. Its totient is φ = 33584578560.

The previous prime is 128673607649. The next prime is 128673607687. The reversal of 128673607680 is 86706376821.

128673607680 is a `hidden beast` number, since 1 + 28 + 6 + 7 + 3 + 607 + 6 + 8 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128673607687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 982241215 + ... + 982241345.

It is an arithmetic number, because the mean of its divisors is an integer number (973631406).

Almost surely, 2^128673607680 is an apocalyptic number.

128673607680 is a gapful number since it is divisible by the number (10) 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 128673607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227829749004).

128673607680 is an abundant number, since it is smaller than the sum of its proper divisors (326985890328).

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

128673607680 is an equidigital number, since it uses as much as digits as its factorization.

128673607680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 128673607680 in words is "one hundred twenty-eight billion, six hundred seventy-three million, six hundred seven thousand, six hundred eighty".