60504744964320 has 768 divisors, whose sum is σ = 236196559872000. Its totient is φ = 14375793033216.

The previous prime is 60504744964297. The next prime is 60504744964343. The reversal of 60504744964320 is 2346944740506.

60504744964320 is a `hidden beast` number, since 6 + 0 + 50 + 4 + 74 + 4 + 96 + 432 + 0 = 666.

60504744964320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (60504744964297) and next prime (60504744964343).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2007907974 + ... + 2007938106.

It is an arithmetic number, because the mean of its divisors is an integer number (307547604000).

Almost surely, 2^{60504744964320} is an apocalyptic number.

60504744964320 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 60504744964320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118098279936000).

60504744964320 is an abundant number, since it is smaller than the sum of its proper divisors (175691814907680).

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

60504744964320 is a wasteful number, since it uses less digits than its factorization.

60504744964320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31632 (or 31618 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 60504744964320 in words is "sixty trillion, five hundred four billion, seven hundred forty-four million, nine hundred sixty-four thousand, three hundred twenty".