668263705740 has 192 divisors, whose sum is σ = 2155463049600. Its totient is φ = 171680366592.

The previous prime is 668263705679. The next prime is 668263705741. The reversal of 668263705740 is 47507362866.

668263705740 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 63 + 7 + 0 + 574 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (668263705741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7109932 + ... + 7203308.

It is an arithmetic number, because the mean of its divisors is an integer number (11226370050).

Almost surely, 2^668263705740 is an apocalyptic number.

668263705740 is a gapful number since it is divisible by the number (60) 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 668263705740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1077731524800).

668263705740 is an abundant number, since it is smaller than the sum of its proper divisors (1487199343860).

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

668263705740 is a wasteful number, since it uses less digits than its factorization.

668263705740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93881 (or 93873 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 668263705740 in words is "six hundred sixty-eight billion, two hundred sixty-three million, seven hundred five thousand, seven hundred forty".