480094645968 has 480 divisors, whose sum is σ = 1639034142720. Its totient is φ = 131796564480.

The previous prime is 480094645949. The next prime is 480094645999. The reversal of 480094645968 is 869546490084.

480094645968 is a `hidden beast` number, since 4 + 80 + 0 + 9 + 46 + 459 + 68 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 790929921 + ... + 790930527.

It is an arithmetic number, because the mean of its divisors is an integer number (3414654464).

Almost surely, 2^480094645968 is an apocalyptic number.

480094645968 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 480094645968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819517071360).

480094645968 is an abundant number, since it is smaller than the sum of its proper divisors (1158939496752).

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

480094645968 is a wasteful number, since it uses less digits than its factorization.

480094645968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 480094645968 in words is "four hundred eighty billion, ninety-four million, six hundred forty-five thousand, nine hundred sixty-eight".