6689669382144 has 1152 divisors, whose sum is σ = 24159098880000. Its totient is φ = 1788214247424.

The previous prime is 6689669382131. The next prime is 6689669382173. The reversal of 6689669382144 is 4412839669866.

6689669382144 is a `hidden beast` number, since 6 + 68 + 96 + 69 + 382 + 1 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 33616428957 + ... + 33616429155.

It is an arithmetic number, because the mean of its divisors is an integer number (20971440000).

Almost surely, 2^{6689669382144} is an apocalyptic number.

6689669382144 is a gapful number since it is divisible by the number (64) 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 6689669382144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12079549440000).

6689669382144 is an abundant number, since it is smaller than the sum of its proper divisors (17469429497856).

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

6689669382144 is an equidigital number, since it uses as much as digits as its factorization.

6689669382144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 293 counting only the distinct ones).

The product of its digits is 644972544, while the sum is 72.

The spelling of 6689669382144 in words is "six trillion, six hundred eighty-nine billion, six hundred sixty-nine million, three hundred eighty-two thousand, one hundred forty-four".