4627581482160 has 480 divisors, whose sum is σ = 19255748803200. Its totient is φ = 969813983232.

The previous prime is 4627581482149. The next prime is 4627581482201. The reversal of 4627581482160 is 612841857264.

4627581482160 is a `hidden beast` number, since 4 + 6 + 2 + 7 + 581 + 48 + 2 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4627581482097 and 4627581482106.

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, 9525472 + ... + 9999488.

It is an arithmetic number, because the mean of its divisors is an integer number (40116143340).

Almost surely, 2^{4627581482160} is an apocalyptic number.

4627581482160 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 4627581482160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9627874401600).

4627581482160 is an abundant number, since it is smaller than the sum of its proper divisors (14628167321040).

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

4627581482160 is a wasteful number, since it uses less digits than its factorization.

4627581482160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474205 (or 474196 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 4627581482160 in words is "four trillion, six hundred twenty-seven billion, five hundred eighty-one million, four hundred eighty-two thousand, one hundred sixty".