480542766720 has 128 divisors (see below), whose sum is σ = 1532278304640. Its totient is φ = 128098873344.

The previous prime is 480542766719. The next prime is 480542766721. The reversal of 480542766720 is 27667245084.

It is an interprime number because it is at equal distance from previous prime (480542766719) and next prime (480542766721).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (480542766721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5499694 + ... + 5586386.

It is an arithmetic number, because the mean of its divisors is an integer number (11970924255).

Almost surely, 2^480542766720 is an apocalyptic number.

480542766720 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 480542766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766139152320).

480542766720 is an abundant number, since it is smaller than the sum of its proper divisors (1051735537920).

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

480542766720 is a wasteful number, since it uses less digits than its factorization.

480542766720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89602 (or 89590 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 51.

The spelling of 480542766720 in words is "four hundred eighty billion, five hundred forty-two million, seven hundred sixty-six thousand, seven hundred twenty".