484068983328000 has 2880 divisors, whose sum is σ = 2261319817236480. Its totient is φ = 100261877760000.

The previous prime is 484068983327971. The next prime is 484068983328011. The reversal of 484068983328000 is 823389860484.

484068983328000 is a `hidden beast` number, since 4 + 84 + 0 + 68 + 98 + 332 + 80 + 0 + 0 = 666.

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

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

It is a congruent number.

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 319 ways as a sum of consecutive naturals, for example, 7928897475 + ... + 7928958525.

It is an arithmetic number, because the mean of its divisors is an integer number (785180492096).

Almost surely, 2^{484068983328000} is an apocalyptic number.

484068983328000 is a gapful number since it is divisible by the number (40) 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 484068983328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130659908618240).

484068983328000 is an abundant number, since it is smaller than the sum of its proper divisors (1777250833908480).

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

484068983328000 is a wasteful number, since it uses less digits than its factorization.

484068983328000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61143 (or 61110 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 484068983328000 in words is "four hundred eighty-four trillion, sixty-eight billion, nine hundred eighty-three million, three hundred twenty-eight thousand".