484205568000 has 1792 divisors, whose sum is σ = 2119839621120. Its totient is φ = 95158272000.

The previous prime is 484205567959. The next prime is 484205568019. The reversal of 484205568000 is 865502484.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5440511956 + ... + 5440512044.

Almost surely, 2^484205568000 is an apocalyptic number.

484205568000 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 484205568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059919810560).

484205568000 is an abundant number, since it is smaller than the sum of its proper divisors (1635634053120).

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

484205568000 is a wasteful number, since it uses less digits than its factorization.

484205568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The spelling of 484205568000 in words is "four hundred eighty-four billion, two hundred five million, five hundred sixty-eight thousand".