482066069760 has 720 divisors, whose sum is σ = 1888894510272. Its totient is φ = 116420198400.

The previous prime is 482066069729. The next prime is 482066069803. The reversal of 482066069760 is 67960660284.

482066069760 is a `hidden beast` number, since 4 + 8 + 20 + 6 + 606 + 9 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×482066069760² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 482066069697 and 482066069706.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 377498242 + ... + 377499518.

Almost surely, 2^482066069760 is an apocalyptic number.

482066069760 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 482066069760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944447255136).

482066069760 is an abundant number, since it is smaller than the sum of its proper divisors (1406828440512).

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

482066069760 is a wasteful number, since it uses less digits than its factorization.

482066069760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 482066069760 in words is "four hundred eighty-two billion, sixty-six million, sixty-nine thousand, seven hundred sixty".