480066048000 has 2496 divisors, whose sum is σ = 2284085905920. Its totient is φ = 97320960000.

The previous prime is 480066047983. The next prime is 480066048013. The reversal of 480066048000 is 840660084.

480066048000 is a `hidden beast` number, since 48 + 0 + 0 + 6 + 604 + 8 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11708927980 + ... + 11708928020.

It is an arithmetic number, because the mean of its divisors is an integer number (915098520).

Almost surely, 2^480066048000 is an apocalyptic number.

480066048000 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 480066048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142042952960).

480066048000 is an abundant number, since it is smaller than the sum of its proper divisors (1804019857920).

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

480066048000 is a wasteful number, since it uses less digits than its factorization.

480066048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 480066048000 in words is "four hundred eighty billion, sixty-six million, forty-eight thousand".