486658679040 has 720 divisors, whose sum is σ = 1907565493680. Its totient is φ = 117917614080.

The previous prime is 486658679021. The next prime is 486658679083. The reversal of 486658679040 is 40976856684.

486658679040 is a `hidden beast` number, since 4 + 8 + 6 + 6 + 586 + 7 + 9 + 0 + 40 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1708003584 + 484950675456 = 41328^2 + 696384^2 .

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

It is a super-3 number, since 3×486658679040³ (a number of 36 digits) contains 333 as substring.

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, 51109480 + ... + 51119000.

It is an arithmetic number, because the mean of its divisors is an integer number (2649396519).

Almost surely, 2^486658679040 is an apocalyptic number.

486658679040 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 486658679040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953782746840).

486658679040 is an abundant number, since it is smaller than the sum of its proper divisors (1420906814640).

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

486658679040 is a wasteful number, since it uses less digits than its factorization.

486658679040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9600 (or 9577 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 486658679040 in words is "four hundred eighty-six billion, six hundred fifty-eight million, six hundred seventy-nine thousand, forty".