6666756000 has 192 divisors, whose sum is σ = 21952135296. Its totient is φ = 1768704000.

The previous prime is 6666755999. The next prime is 6666756001. The reversal of 6666756000 is 6576666.

It is an interprime number because it is at equal distance from previous prime (6666755999) and next prime (6666756001).

It is not an unprimeable number, because it can be changed into a prime (6666756001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2530684 + ... + 2533316.

It is an arithmetic number, because the mean of its divisors is an integer number (114334038).

Almost surely, 2^6666756000 is an apocalyptic number.

6666756000 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 6666756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10976067648).

6666756000 is an abundant number, since it is smaller than the sum of its proper divisors (15285379296).

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

6666756000 is a wasteful number, since it uses less digits than its factorization.

6666756000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 6666756000 is about 81650.2051436492. The cubic root of 6666756000 is about 1882.0804643130.

The spelling of 6666756000 in words is "six billion, six hundred sixty-six million, seven hundred fifty-six thousand".