481627713060 has 288 divisors, whose sum is σ = 1597344053760. Its totient is φ = 116757144576.

The previous prime is 481627713059. The next prime is 481627713121. The reversal of 481627713060 is 60317726184.

481627713060 is a `hidden beast` number, since 4 + 8 + 1 + 627 + 7 + 13 + 0 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 481627712997 and 481627713015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43310181 + ... + 43321299.

It is an arithmetic number, because the mean of its divisors is an integer number (5546333520).

Almost surely, 2^481627713060 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481627713060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798672026880).

481627713060 is an abundant number, since it is smaller than the sum of its proper divisors (1115716340700).

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

481627713060 is a wasteful number, since it uses less digits than its factorization.

481627713060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11427 (or 11422 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 481627713060 in words is "four hundred eighty-one billion, six hundred twenty-seven million, seven hundred thirteen thousand, sixty".