668469068752320 has 336 divisors, whose sum is σ = 2527425433653120. Its totient is φ = 160816059955200.

The previous prime is 668469068752291. The next prime is 668469068752357. The reversal of 668469068752320 is 23257860964866.

668469068752320 is a `hidden beast` number, since 6 + 6 + 8 + 4 + 6 + 90 + 6 + 8 + 7 + 523 + 2 + 0 = 666.

668469068752320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 76386810 + ... + 84686969.

It is an arithmetic number, because the mean of its divisors is an integer number (7522099504920).

Almost surely, 2^{668469068752320} is an apocalyptic number.

668469068752320 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

668469068752320 is an abundant number, since it is smaller than the sum of its proper divisors (1858956364900800).

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

668469068752320 is a wasteful number, since it uses less digits than its factorization.

668469068752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161073944 (or 161073931 counting only the distinct ones).

The product of its (nonzero) digits is 1254113280, while the sum is 72.

The spelling of 668469068752320 in words is "six hundred sixty-eight trillion, four hundred sixty-nine billion, sixty-eight million, seven hundred fifty-two thousand, three hundred twenty".