6660426528000 has 1620 divisors, whose sum is σ = 28958581744092. Its totient is φ = 1515735244800.

The previous prime is 6660426527999. The next prime is 6660426528023. The reversal of 6660426528000 is 8256240666.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 48287425536 + 6612139102464 = 219744^2 + 2571408^2 .

It is a tau number, because it is divible by the number of its divisors (1620).

It is a super-2 number, since 2×6660426528000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 179 ways as a sum of consecutive naturals, for example, 29084831886 + ... + 29084832114.

Almost surely, 2^{6660426528000} is an apocalyptic number.

6660426528000 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 6660426528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14479290872046).

6660426528000 is an abundant number, since it is smaller than the sum of its proper divisors (22298155216092).

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

6660426528000 is an frugal number, since it uses more digits than its factorization.

6660426528000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

Multiplying 6660426528000 by its sum of digits (45), we get a square (299719193760000 = 17312400²).

6660426528000 divided by its sum of digits (45) gives a square (148009478400 = 384720²).

The spelling of 6660426528000 in words is "six trillion, six hundred sixty billion, four hundred twenty-six million, five hundred twenty-eight thousand".