60128804736 has 1152 divisors, whose sum is σ = 245136844800. Its totient is φ = 14341017600.

The previous prime is 60128804707. The next prime is 60128804767. The reversal of 60128804736 is 63740882106.

60128804736 is a `hidden beast` number, since 601 + 2 + 8 + 8 + 0 + 4 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 60128804691 and 60128804700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 314810401 + ... + 314810591.

It is an arithmetic number, because the mean of its divisors is an integer number (212792400).

Almost surely, 2^60128804736 is an apocalyptic number.

60128804736 is a gapful number since it is divisible by the number (66) 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 60128804736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122568422400).

60128804736 is an abundant number, since it is smaller than the sum of its proper divisors (185008040064).

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

60128804736 is a wasteful number, since it uses less digits than its factorization.

60128804736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 60128804736 in words is "sixty billion, one hundred twenty-eight million, eight hundred four thousand, seven hundred thirty-six".