60468874444800 has 2880 divisors, whose sum is σ = 258850385640000. Its totient is φ = 13752619499520.

The previous prime is 60468874444799. The next prime is 60468874444859. The reversal of 60468874444800 is 844447886406.

60468874444800 is a `hidden beast` number, since 6 + 0 + 4 + 6 + 88 + 74 + 4 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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, 2629081497589 + ... + 2629081497611.

It is an arithmetic number, because the mean of its divisors is an integer number (89878606125).

Almost surely, 2^{60468874444800} is an apocalyptic number.

60468874444800 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 60468874444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129425192820000).

60468874444800 is an abundant number, since it is smaller than the sum of its proper divisors (198381511195200).

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

60468874444800 is an equidigital number, since it uses as much as digits as its factorization.

60468874444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 132120576, while the sum is 63.

The spelling of 60468874444800 in words is "sixty trillion, four hundred sixty-eight billion, eight hundred seventy-four million, four hundred forty-four thousand, eight hundred".