480172468763520 has 2560 divisors, whose sum is σ = 1962318758400000. Its totient is φ = 110919798226944.

The previous prime is 480172468763473. The next prime is 480172468763521. The reversal of 480172468763520 is 25367864271084.

480172468763520 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 7 + 2 + 46 + 8 + 7 + 63 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480172468763521) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 962269476231 + ... + 962269476729.

It is an arithmetic number, because the mean of its divisors is an integer number (766530765000).

Almost surely, 2^{480172468763520} is an apocalyptic number.

480172468763520 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 480172468763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981159379200000).

480172468763520 is an abundant number, since it is smaller than the sum of its proper divisors (1482146289636480).

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

480172468763520 is a wasteful number, since it uses less digits than its factorization.

480172468763520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1101 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 63.

The spelling of 480172468763520 in words is "four hundred eighty trillion, one hundred seventy-two billion, four hundred sixty-eight million, seven hundred sixty-three thousand, five hundred twenty".