504772946496000 has 5760 divisors, whose sum is σ = 2438847256285440. Its totient is φ = 99158556672000.

The previous prime is 504772946495999. The next prime is 504772946496011. The reversal of 504772946496000 is 694649277405.

It is a happy number.

504772946496000 is a `hidden beast` number, since 5 + 0 + 47 + 72 + 9 + 464 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 425251007407 + ... + 425251008593.

It is an arithmetic number, because the mean of its divisors is an integer number (423410981994).

Almost surely, 2^{504772946496000} is an apocalyptic number.

504772946496000 is a gapful number since it is divisible by the number (50) 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 504772946496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219423628142720).

504772946496000 is an abundant number, since it is smaller than the sum of its proper divisors (1934074309789440).

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

504772946496000 is a wasteful number, since it uses less digits than its factorization.

504772946496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 504772946496000 in words is "five hundred four trillion, seven hundred seventy-two billion, nine hundred forty-six million, four hundred ninety-six thousand".