482691605760 has 1152 divisors, whose sum is σ = 2176610795520. Its totient is φ = 98537472000.

The previous prime is 482691605749. The next prime is 482691605779. The reversal of 482691605760 is 67506196284.

482691605760 is a `hidden beast` number, since 4 + 8 + 2 + 6 + 9 + 1 + 60 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 = 482691605697 and 482691605706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97491285 + ... + 97496235.

Almost surely, 2^482691605760 is an apocalyptic number.

482691605760 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 482691605760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1088305397760).

482691605760 is an abundant number, since it is smaller than the sum of its proper divisors (1693919189760).

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

482691605760 is a wasteful number, since it uses less digits than its factorization.

482691605760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5032 (or 5012 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 482691605760 in words is "four hundred eighty-two billion, six hundred ninety-one million, six hundred five thousand, seven hundred sixty".