60305472864 has 1152 divisors, whose sum is σ = 238097664000. Its totient is φ = 14673125376.

The previous prime is 60305472803. The next prime is 60305472889. The reversal of 60305472864 is 46827450306.

60305472864 is a `hidden beast` number, since 60 + 305 + 4 + 7 + 286 + 4 = 666.

60305472864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 763360377 + ... + 763360455.

It is an arithmetic number, because the mean of its divisors is an integer number (206682000).

Almost surely, 2^60305472864 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 60305472864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119048832000).

60305472864 is an abundant number, since it is smaller than the sum of its proper divisors (177792191136).

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

60305472864 is a wasteful number, since it uses less digits than its factorization.

60305472864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 60305472864 in words is "sixty billion, three hundred five million, four hundred seventy-two thousand, eight hundred sixty-four".