668291695344000 has 4096 divisors, whose sum is σ = 3212056505548800. Its totient is φ = 132756848640000.

The previous prime is 668291695343971. The next prime is 668291695344023. The reversal of 668291695344000 is 443596192866.

668291695344000 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 91 + 6 + 9 + 534 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×668291695344000² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 45090856590 + ... + 45090871410.

It is an arithmetic number, because the mean of its divisors is an integer number (784193482800).

Almost surely, 2^{668291695344000} is an apocalyptic number.

668291695344000 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 668291695344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606028252774400).

668291695344000 is an abundant number, since it is smaller than the sum of its proper divisors (2543764810204800).

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

668291695344000 is a wasteful number, since it uses less digits than its factorization.

668291695344000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14947 (or 14919 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 63.

The spelling of 668291695344000 in words is "six hundred sixty-eight trillion, two hundred ninety-one billion, six hundred ninety-five million, three hundred forty-four thousand".