480661735680 has 864 divisors, whose sum is σ = 2004159725568. Its totient is φ = 104033894400.

The previous prime is 480661735637. The next prime is 480661735703. The reversal of 480661735680 is 86537166084.

480661735680 is a `hidden beast` number, since 4 + 8 + 0 + 6 + 6 + 1 + 73 + 568 + 0 = 666.

It is a super-3 number, since 3×480661735680³ (a number of 36 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 117490435 + ... + 117494525.

It is an arithmetic number, because the mean of its divisors is an integer number (2319629312).

Almost surely, 2^480661735680 is an apocalyptic number.

480661735680 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 480661735680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002079862784).

480661735680 is an abundant number, since it is smaller than the sum of its proper divisors (1523497989888).

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

480661735680 is a wasteful number, since it uses less digits than its factorization.

480661735680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4186 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 480661735680 in words is "four hundred eighty billion, six hundred sixty-one million, seven hundred thirty-five thousand, six hundred eighty".