668407416617232 has 240 divisors, whose sum is σ = 1910429170540800. Its totient is φ = 218114104320000.

The previous prime is 668407416617221. The next prime is 668407416617233. The reversal of 668407416617232 is 232716614704866.

668407416617232 is a `hidden beast` number, since 6 + 6 + 8 + 4 + 0 + 7 + 4 + 1 + 6 + 617 + 2 + 3 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 668407416617232.

It is not an unprimeable number, because it can be changed into a prime (668407416617233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1482491769 + ... + 1482942567.

It is an arithmetic number, because the mean of its divisors is an integer number (7960121543920).

Almost surely, 2^{668407416617232} 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 668407416617232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (955214585270400).

668407416617232 is an abundant number, since it is smaller than the sum of its proper divisors (1242021753923568).

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

668407416617232 is a wasteful number, since it uses less digits than its factorization.

668407416617232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452062 (or 452053 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 63.

The spelling of 668407416617232 in words is "six hundred sixty-eight trillion, four hundred seven billion, four hundred sixteen million, six hundred seventeen thousand, two hundred thirty-two".