68882249374720 has 176 divisors, whose sum is σ = 166137523358400. Its totient is φ = 27403030757376.

The previous prime is 68882249374649. The next prime is 68882249374723. The reversal of 68882249374720 is 2747394228886.

It is a super-2 number, since 2×68882249374720² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 68882249374720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68882249374723) 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 15 ways as a sum of consecutive naturals, for example, 825399556 + ... + 825483004.

It is an arithmetic number, because the mean of its divisors is an integer number (943963200900).

Almost surely, 2^{68882249374720} 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 68882249374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83068761679200).

68882249374720 is an abundant number, since it is smaller than the sum of its proper divisors (97255273983680).

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

68882249374720 is a wasteful number, since it uses less digits than its factorization.

68882249374720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84350 (or 84332 counting only the distinct ones).

The product of its (nonzero) digits is 520224768, while the sum is 70.

The spelling of 68882249374720 in words is "sixty-eight trillion, eight hundred eighty-two billion, two hundred forty-nine million, three hundred seventy-four thousand, seven hundred twenty".