480565575314640 has 480 divisors, whose sum is σ = 1750953498053760. Its totient is φ = 117718238822400.

The previous prime is 480565575314609. The next prime is 480565575314647. The reversal of 480565575314640 is 46413575565084.

480565575314640 is a `hidden beast` number, since 4 + 8 + 0 + 5 + 6 + 5 + 57 + 531 + 4 + 6 + 40 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480565575314647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88795200 + ... + 94051680.

It is an arithmetic number, because the mean of its divisors is an integer number (3647819787612).

Almost surely, 2^{480565575314640} is an apocalyptic number.

480565575314640 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 480565575314640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875476749026880).

480565575314640 is an abundant number, since it is smaller than the sum of its proper divisors (1270387922739120).

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

480565575314640 is a wasteful number, since it uses less digits than its factorization.

480565575314640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5256723 (or 5256714 counting only the distinct ones).

The product of its (nonzero) digits is 241920000, while the sum is 63.

The spelling of 480565575314640 in words is "four hundred eighty trillion, five hundred sixty-five billion, five hundred seventy-five million, three hundred fourteen thousand, six hundred forty".