6647825706500 has 192 divisors, whose sum is σ = 16837464833280. Its totient is φ = 2267481600000.

The previous prime is 6647825706493. The next prime is 6647825706503. The reversal of 6647825706500 is 56075287466.

It is not an unprimeable number, because it can be changed into a prime (6647825706503) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10239572 + ... + 10869428.

It is an arithmetic number, because the mean of its divisors is an integer number (87695129340).

Almost surely, 2^{6647825706500} 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 6647825706500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8418732416640).

6647825706500 is an abundant number, since it is smaller than the sum of its proper divisors (10189639126780).

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

6647825706500 is a wasteful number, since it uses less digits than its factorization.

6647825706500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630007 (or 629995 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 56.

The spelling of 6647825706500 in words is "six trillion, six hundred forty-seven billion, eight hundred twenty-five million, seven hundred six thousand, five hundred".