6335206649856 has 1040 divisors, whose sum is σ = 22311510245376. Its totient is φ = 1753752010752.

The previous prime is 6335206649789. The next prime is 6335206649867. The reversal of 6335206649856 is 6589466025336.

6335206649856 is a `hidden beast` number, since 6 + 3 + 3 + 520 + 66 + 49 + 8 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 6335206649793 and 6335206649802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13862596380 + ... + 13862596836.

Almost surely, 2^{6335206649856} 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 6335206649856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11155755122688).

6335206649856 is an abundant number, since it is smaller than the sum of its proper divisors (15976303595520).

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

6335206649856 is a wasteful number, since it uses less digits than its factorization.

6335206649856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 63.

The spelling of 6335206649856 in words is "six trillion, three hundred thirty-five billion, two hundred six million, six hundred forty-nine thousand, eight hundred fifty-six".