128060642304 has 594 divisors, whose sum is σ = 447812835210. Its totient is φ = 36494696448.

The previous prime is 128060642273. The next prime is 128060642327. The reversal of 128060642304 is 403246060821.

128060642304 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 6 + 0 + 642 + 3 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 95140168704 + 32920473600 = 308448^2 + 181440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 329204542 + ... + 329204930.

Almost surely, 2^128060642304 is an apocalyptic number.

128060642304 is a gapful number since it is divisible by the number (14) 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 128060642304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223906417605).

128060642304 is an abundant number, since it is smaller than the sum of its proper divisors (319752192906).

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

128060642304 is an frugal number, since it uses more digits than its factorization.

128060642304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 128060642304 in words is "one hundred twenty-eight billion, sixty million, six hundred forty-two thousand, three hundred four".