668401493760 has 1728 divisors, whose sum is σ = 3207720821760. Its totient is φ = 127282544640.

The previous prime is 668401493741. The next prime is 668401493783. The reversal of 668401493760 is 67394104866.

668401493760 is a `hidden beast` number, since 6 + 6 + 84 + 0 + 1 + 493 + 76 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 668401493697 and 668401493706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4808643771 + ... + 4808643909.

It is an arithmetic number, because the mean of its divisors is an integer number (1856319920).

Almost surely, 2^668401493760 is an apocalyptic number.

668401493760 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 668401493760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1603860410880).

668401493760 is an abundant number, since it is smaller than the sum of its proper divisors (2539319328000).

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

668401493760 is a wasteful number, since it uses less digits than its factorization.

668401493760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 668401493760 in words is "six hundred sixty-eight billion, four hundred one million, four hundred ninety-three thousand, seven hundred sixty".