486076567680 has 960 divisors, whose sum is σ = 1958936063040. Its totient is φ = 113906995200.

The previous prime is 486076567679. The next prime is 486076567729. The reversal of 486076567680 is 86765670684.

486076567680 is a `hidden beast` number, since 4 + 8 + 6 + 0 + 7 + 6 + 567 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 548000197 + ... + 548001083.

It is an arithmetic number, because the mean of its divisors is an integer number (2040558399).

Almost surely, 2^486076567680 is an apocalyptic number.

486076567680 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 486076567680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979468031520).

486076567680 is an abundant number, since it is smaller than the sum of its proper divisors (1472859495360).

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

486076567680 is a wasteful number, since it uses less digits than its factorization.

486076567680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 486076567680 in words is "four hundred eighty-six billion, seventy-six million, five hundred sixty-seven thousand, six hundred eighty".