480199507075728 has 720 divisors, whose sum is σ = 1618732024863408. Its totient is φ = 132237125222400.

The previous prime is 480199507075727. The next prime is 480199507075751. The reversal of 480199507075728 is 827570705991084.

480199507075728 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 99 + 507 + 0 + 7 + 5 + 7 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 57385897321104 + 422813609754624 = 7575348^2 + 20562432^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (480199507075727) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1177815400 + ... + 1178223032.

Almost surely, 2^{480199507075728} is an apocalyptic number.

480199507075728 is a gapful number since it is divisible by the number (48) 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 480199507075728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809366012431704).

480199507075728 is an abundant number, since it is smaller than the sum of its proper divisors (1138532517787680).

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

480199507075728 is a wasteful number, since it uses less digits than its factorization.

480199507075728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407824 (or 407804 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 72.

The spelling of 480199507075728 in words is "four hundred eighty trillion, one hundred ninety-nine billion, five hundred seven million, seventy-five thousand, seven hundred twenty-eight".