668084060160 has 1080 divisors, whose sum is σ = 2646752065776. Its totient is φ = 160526499840.

The previous prime is 668084060159. The next prime is 668084060167. The reversal of 668084060160 is 61060480866.

668084060160 is a `hidden beast` number, since 6 + 6 + 80 + 8 + 406 + 0 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×668084060160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (668084060167) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5912248264 + ... + 5912248376.

Almost surely, 2^668084060160 is an apocalyptic number.

668084060160 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 668084060160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1323376032888).

668084060160 is an abundant number, since it is smaller than the sum of its proper divisors (1978668005616).

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

668084060160 is an frugal number, since it uses more digits than its factorization.

668084060160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 668084060160 in words is "six hundred sixty-eight billion, eighty-four million, sixty thousand, one hundred sixty".