480822736006000 has 160 divisors (see below), whose sum is σ = 1179120725640000. Its totient is φ = 189603522662400.

The previous prime is 480822736005851. The next prime is 480822736006003. The reversal of 480822736006000 is 600637228084.

It is a super-3 number, since 3×480822736006000³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480822736006003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304205751 + ... + 305782249.

It is an arithmetic number, because the mean of its divisors is an integer number (7369504535250).

Almost surely, 2^{480822736006000} is an apocalyptic number.

480822736006000 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 480822736006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589560362820000).

480822736006000 is an abundant number, since it is smaller than the sum of its proper divisors (698297989634000).

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

480822736006000 is a wasteful number, since it uses less digits than its factorization.

480822736006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1578684 (or 1578668 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The spelling of 480822736006000 in words is "four hundred eighty trillion, eight hundred twenty-two billion, seven hundred thirty-six million, six thousand".