668086882848 has 1344 divisors, whose sum is σ = 2606955466752. Its totient is φ = 163325859840.

The previous prime is 668086882847. The next prime is 668086882849. The reversal of 668086882848 is 848288680866.

It is an interprime number because it is at equal distance from previous prime (668086882847) and next prime (668086882849).

It is a super-2 number, since 2×668086882848² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (668086882847) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 4255330386 + ... + 4255330542.

It is an arithmetic number, because the mean of its divisors is an integer number (1939699008).

Almost surely, 2^668086882848 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 668086882848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1303477733376).

668086882848 is an abundant number, since it is smaller than the sum of its proper divisors (1938868583904).

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

668086882848 is a wasteful number, since it uses less digits than its factorization.

668086882848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 452984832, while the sum is 72.

The spelling of 668086882848 in words is "six hundred sixty-eight billion, eighty-six million, eight hundred eighty-two thousand, eight hundred forty-eight".