6673329778752 has 1512 divisors, whose sum is σ = 25352534964120. Its totient is φ = 1726913986560.

The previous prime is 6673329778727. The next prime is 6673329778781. The reversal of 6673329778752 is 2578779233766.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 128410422336 + 6544919356416 = 358344^2 + 2558304^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 16316209524 + ... + 16316209932.

Almost surely, 2^{6673329778752} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6673329778752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12676267482060).

6673329778752 is an abundant number, since it is smaller than the sum of its proper divisors (18679205185368).

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

6673329778752 is an equidigital number, since it uses as much as digits as its factorization.

6673329778752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 495 counting only the distinct ones).

The product of its digits is 1120210560, while the sum is 72.

The spelling of 6673329778752 in words is "six trillion, six hundred seventy-three billion, three hundred twenty-nine million, seven hundred seventy-eight thousand, seven hundred fifty-two".