6678584646960 has 320 divisors, whose sum is σ = 22151542210560. Its totient is φ = 1660619136000.

The previous prime is 6678584646949. The next prime is 6678584646997. The reversal of 6678584646960 is 696464858766.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65068161 + ... + 65170719.

It is an arithmetic number, because the mean of its divisors is an integer number (69223569408).

Almost surely, 2^{6678584646960} is an apocalyptic number.

6678584646960 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 6678584646960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075771105280).

6678584646960 is an abundant number, since it is smaller than the sum of its proper divisors (15472957563600).

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

6678584646960 is a wasteful number, since it uses less digits than its factorization.

6678584646960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102896 (or 102890 counting only the distinct ones).

The product of its (nonzero) digits is 2508226560, while the sum is 75.

The spelling of 6678584646960 in words is "six trillion, six hundred seventy-eight billion, five hundred eighty-four million, six hundred forty-six thousand, nine hundred sixty".