680668001408 has 32 divisors (see below), whose sum is σ = 1371254467500. Its totient is φ = 336510017536.

The previous prime is 680668001401. The next prime is 680668001449. The reversal of 680668001408 is 804100866086.

It can be written as a sum of positive squares in 2 ways, for example, as 618563374144 + 62104627264 = 786488^2 + 249208^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×680668001408² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (680668001401) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29863433 + ... + 29886216.

Almost surely, 2^680668001408 is an apocalyptic number.

It is an amenable number.

680668001408 is an abundant number, since it is smaller than the sum of its proper divisors (690586466092).

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

680668001408 is an equidigital number, since it uses as much as digits as its factorization.

680668001408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59749752 (or 59749740 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 680668001408 in words is "six hundred eighty billion, six hundred sixty-eight million, one thousand, four hundred eight".