668967040512 has 480 divisors, whose sum is σ = 2087380399104. Its totient is φ = 213647155200.

The previous prime is 668967040493. The next prime is 668967040513. The reversal of 668967040512 is 215040769866.

668967040512 is a `hidden beast` number, since 6 + 6 + 89 + 6 + 7 + 0 + 40 + 512 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668967040513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 412687062 + ... + 412688682.

Almost surely, 2^668967040512 is an apocalyptic number.

668967040512 is a gapful number since it is divisible by the number (62) 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 668967040512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1043690199552).

668967040512 is an abundant number, since it is smaller than the sum of its proper divisors (1418413358592).

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

668967040512 is a wasteful number, since it uses less digits than its factorization.

668967040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 668967040512 in words is "six hundred sixty-eight billion, nine hundred sixty-seven million, forty thousand, five hundred twelve".