60727705632 has 576 divisors, whose sum is σ = 201381852672. Its totient is φ = 17192448000.

The previous prime is 60727705607. The next prime is 60727705669. The reversal of 60727705632 is 23650772706.

60727705632 is a `hidden beast` number, since 6 + 0 + 7 + 2 + 7 + 7 + 0 + 5 + 632 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 463570207 + ... + 463570337.

It is an arithmetic number, because the mean of its divisors is an integer number (349621272).

Almost surely, 2^60727705632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60727705632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100690926336).

60727705632 is an abundant number, since it is smaller than the sum of its proper divisors (140654147040).

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

60727705632 is a wasteful number, since it uses less digits than its factorization.

60727705632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 740880, while the sum is 45.

The spelling of 60727705632 in words is "sixty billion, seven hundred twenty-seven million, seven hundred five thousand, six hundred thirty-two".