668438107678000 has 160 divisors (see below), whose sum is σ = 1763454320896320. Its totient is φ = 243035851520000.

The previous prime is 668438107677973. The next prime is 668438107678039. The reversal of 668438107678000 is 876701834866.

It is a super-2 number, since 2×668438107678000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 162551286 + ... + 166612714.

It is an arithmetic number, because the mean of its divisors is an integer number (11021589505602).

Almost surely, 2^{668438107678000} 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 668438107678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881727160448160).

668438107678000 is an abundant number, since it is smaller than the sum of its proper divisors (1095016213218320).

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

668438107678000 is a wasteful number, since it uses less digits than its factorization.

668438107678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4068944 (or 4068928 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 64.

The spelling of 668438107678000 in words is "six hundred sixty-eight trillion, four hundred thirty-eight billion, one hundred seven million, six hundred seventy-eight thousand".