6651723805056 has 448 divisors, whose sum is σ = 21695514517440. Its totient is φ = 2013704064000.

The previous prime is 6651723805031. The next prime is 6651723805087. The reversal of 6651723805056 is 6505083271566.

It is a happy number.

6651723805056 is a `hidden beast` number, since 6 + 6 + 51 + 7 + 2 + 3 + 80 + 505 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 6651723804993 and 6651723805011.

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 55 ways as a sum of consecutive naturals, for example, 1316909731 + ... + 1316914781.

Almost surely, 2^{6651723805056} is an apocalyptic number.

6651723805056 is a gapful number since it is divisible by the number (66) 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 6651723805056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10847757258720).

6651723805056 is an abundant number, since it is smaller than the sum of its proper divisors (15043790712384).

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

6651723805056 is a wasteful number, since it uses less digits than its factorization.

6651723805056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6350 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 6651723805056 in words is "six trillion, six hundred fifty-one billion, seven hundred twenty-three million, eight hundred five thousand, fifty-six".