6658385086080 has 4608 divisors, whose sum is σ = 32684912640000. Its totient is φ = 1271670865920.

The previous prime is 6658385086079. The next prime is 6658385086103. The reversal of 6658385086080 is 806805838566.

6658385086080 is a `hidden beast` number, since 6 + 65 + 8 + 3 + 8 + 508 + 60 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6658385085999 and 6658385086017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 84283355481 + ... + 84283355559.

It is an arithmetic number, because the mean of its divisors is an integer number (7093080000).

Almost surely, 2^{6658385086080} is an apocalyptic number.

6658385086080 is a gapful number since it is divisible by the number (60) 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 6658385086080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16342456320000).

6658385086080 is an abundant number, since it is smaller than the sum of its proper divisors (26026527553920).

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

6658385086080 is a wasteful number, since it uses less digits than its factorization.

6658385086080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 66355200, while the sum is 63.

The spelling of 6658385086080 in words is "six trillion, six hundred fifty-eight billion, three hundred eighty-five million, eighty-six thousand, eighty".