668207461896 has 768 divisors, whose sum is σ = 2271919104000. Its totient is φ = 175068241920.

The previous prime is 668207461871. The next prime is 668207461897. The reversal of 668207461896 is 698164702866.

668207461896 is a `hidden beast` number, since 6 + 6 + 8 + 2 + 0 + 7 + 4 + 618 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (668207461897) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 777889515 + ... + 777890373.

It is an arithmetic number, because the mean of its divisors is an integer number (2958228000).

Almost surely, 2^668207461896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668207461896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135959552000).

668207461896 is an abundant number, since it is smaller than the sum of its proper divisors (1603711642104).

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

668207461896 is a wasteful number, since it uses less digits than its factorization.

668207461896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 668207461896 in words is "six hundred sixty-eight billion, two hundred seven million, four hundred sixty-one thousand, eight hundred ninety-six".