128768367600 has 240 divisors, whose sum is σ = 468980300800. Its totient is φ = 33539546880.

The previous prime is 128768367551. The next prime is 128768367647. The reversal of 128768367600 is 6763867821.

128768367600 is a `hidden beast` number, since 1 + 28 + 7 + 6 + 8 + 3 + 6 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 325761 + ... + 603039.

Almost surely, 2^128768367600 is an apocalyptic number.

128768367600 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 128768367600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234490150400).

128768367600 is an abundant number, since it is smaller than the sum of its proper divisors (340211933200).

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

128768367600 is a wasteful number, since it uses less digits than its factorization.

128768367600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277349 (or 277332 counting only the distinct ones).

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

The spelling of 128768367600 in words is "one hundred twenty-eight billion, seven hundred sixty-eight million, three hundred sixty-seven thousand, six hundred".