128663436960 has 768 divisors, whose sum is σ = 494678016000. Its totient is φ = 31108976640.

The previous prime is 128663436949. The next prime is 128663436961. The reversal of 128663436960 is 69634366821.

128663436960 is a `hidden beast` number, since 12 + 86 + 63 + 436 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 128663436897 and 128663436906.

It is not an unprimeable number, because it can be changed into a prime (128663436961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 454640979 + ... + 454641261.

It is an arithmetic number, because the mean of its divisors is an integer number (644112000).

Almost surely, 2^128663436960 is an apocalyptic number.

128663436960 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 128663436960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247339008000).

128663436960 is an abundant number, since it is smaller than the sum of its proper divisors (366014579040).

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

128663436960 is a wasteful number, since it uses less digits than its factorization.

128663436960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 128663436960 in words is "one hundred twenty-eight billion, six hundred sixty-three million, four hundred thirty-six thousand, nine hundred sixty".