6600861970560 has 4096 divisors, whose sum is σ = 30530923315200. Its totient is φ = 1324343623680.

The previous prime is 6600861970559. The next prime is 6600861970679. The reversal of 6600861970560 is 650791680066.

6600861970560 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 8 + 6 + 1 + 9 + 70 + 560 = 666.

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 = 6600861970497 and 6600861970506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 90422766684 + ... + 90422766756.

It is an arithmetic number, because the mean of its divisors is an integer number (7453838700).

Almost surely, 2^{6600861970560} is an apocalyptic number.

6600861970560 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 6600861970560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15265461657600).

6600861970560 is an abundant number, since it is smaller than the sum of its proper divisors (23930061344640).

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

6600861970560 is a wasteful number, since it uses less digits than its factorization.

6600861970560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 6600861970560 in words is "six trillion, six hundred billion, eight hundred sixty-one million, nine hundred seventy thousand, five hundred sixty".