6722646368256 has 2688 divisors, whose sum is σ = 27410703989760. Its totient is φ = 1596092055552.

The previous prime is 6722646368233. The next prime is 6722646368279. The reversal of 6722646368256 is 6528636462276.

6722646368256 is a `hidden beast` number, since 6 + 7 + 2 + 264 + 6 + 368 + 2 + 5 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6722646368233) and next prime (6722646368279).

It is a tau number, because it is divible by the number of its divisors (2688).

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 = 6722646368193 and 6722646368202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 113943158755 + ... + 113943158813.

It is an arithmetic number, because the mean of its divisors is an integer number (10197434520).

Almost surely, 2^{6722646368256} 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 6722646368256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13705351994880).

6722646368256 is an abundant number, since it is smaller than the sum of its proper divisors (20688057621504).

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

6722646368256 is a wasteful number, since it uses less digits than its factorization.

6722646368256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 138 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 6722646368256 in words is "six trillion, seven hundred twenty-two billion, six hundred forty-six million, three hundred sixty-eight thousand, two hundred fifty-six".