60045064560 has 320 divisors, whose sum is σ = 224066908800. Its totient is φ = 14779155456.

The previous prime is 60045064493. The next prime is 60045064567. The reversal of 60045064560 is 6546054006.

It is a happy number.

60045064560 is a `hidden beast` number, since 6 + 0 + 0 + 4 + 5 + 0 + 645 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60045064567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4739194 + ... + 4751846.

It is an arithmetic number, because the mean of its divisors is an integer number (700209090).

Almost surely, 2^60045064560 is an apocalyptic number.

60045064560 is a gapful number since it is divisible by the number (60) 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 60045064560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112033454400).

60045064560 is an abundant number, since it is smaller than the sum of its proper divisors (164021844240).

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

60045064560 is a wasteful number, since it uses less digits than its factorization.

60045064560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12714 (or 12676 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 60045064560 in words is "sixty billion, forty-five million, sixty-four thousand, five hundred sixty".