6645888000000 has 980 divisors, whose sum is σ = 24856404607386. Its totient is φ = 1769472000000.

The previous prime is 6645887999999. The next prime is 6645888000007. The reversal of 6645888000000 is 8885466.

6645888000000 is a `hidden beast` number, since 6 + 64 + 588 + 8 + 0 + 0 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 2022493556736 + 4623394443264 = 1422144^2 + 2150208^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 6645888000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6645888000007) by changing a digit.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 10367999680 + ... + 10368000320.

Almost surely, 2^{6645888000000} is an apocalyptic number.

6645888000000 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 6645888000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12428202303693).

6645888000000 is an abundant number, since it is smaller than the sum of its proper divisors (18210516607386).

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

6645888000000 is an frugal number, since it uses more digits than its factorization.

6645888000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 6645888000000 in words is "six trillion, six hundred forty-five billion, eight hundred eighty-eight million", and thus it is an aban number.