668035897966080 has 1280 divisors, whose sum is σ = 2895921049190400. Its totient is φ = 142672757391360.

The previous prime is 668035897966067. The next prime is 668035897966097. The reversal of 668035897966080 is 80669798530866.

668035897966080 is a `hidden beast` number, since 6 + 68 + 0 + 358 + 9 + 79 + 6 + 60 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 434204254 + ... + 435740066.

It is an arithmetic number, because the mean of its divisors is an integer number (2262438319680).

Almost surely, 2^{668035897966080} is an apocalyptic number.

668035897966080 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 668035897966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447960524595200).

668035897966080 is an abundant number, since it is smaller than the sum of its proper divisors (2227885151224320).

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

668035897966080 is a wasteful number, since it uses less digits than its factorization.

668035897966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1535912 (or 1535890 counting only the distinct ones).

The product of its (nonzero) digits is 5643509760, while the sum is 81.

The spelling of 668035897966080 in words is "six hundred sixty-eight trillion, thirty-five billion, eight hundred ninety-seven million, nine hundred sixty-six thousand, eighty".