7223906688768 has 576 divisors, whose sum is σ = 26882719395840. Its totient is φ = 1858788864000.

The previous prime is 7223906688737. The next prime is 7223906688769. The reversal of 7223906688768 is 8678866093227.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 7223906688696 and 7223906688705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7223906688769) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 56884543 + ... + 57011393.

It is an arithmetic number, because the mean of its divisors is an integer number (46671387840).

Almost surely, 2^{7223906688768} 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 7223906688768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13441359697920).

7223906688768 is an abundant number, since it is smaller than the sum of its proper divisors (19658812707072).

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

7223906688768 is a wasteful number, since it uses less digits than its factorization.

7223906688768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127001 (or 126981 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 7223906688768 in words is "seven trillion, two hundred twenty-three billion, nine hundred six million, six hundred eighty-eight thousand, seven hundred sixty-eight".