480560642327808 has 432 divisors, whose sum is σ = 1622279145981312. Its totient is φ = 133942394880000.

The previous prime is 480560642327807. The next prime is 480560642327809. The reversal of 480560642327808 is 808723246065084.

480560642327808 is a `hidden beast` number, since 4 + 8 + 0 + 560 + 6 + 42 + 3 + 27 + 8 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (480560642327807) and next prime (480560642327809).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480560642327807) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9767269608 + ... + 9767318808.

Almost surely, 2^{480560642327808} is an apocalyptic number.

480560642327808 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 480560642327808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811139572990656).

480560642327808 is an abundant number, since it is smaller than the sum of its proper divisors (1141718503653504).

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

480560642327808 is a wasteful number, since it uses less digits than its factorization.

480560642327808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64042 (or 64025 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 480560642327808 in words is "four hundred eighty trillion, five hundred sixty billion, six hundred forty-two million, three hundred twenty-seven thousand, eight hundred eight".