660344216004 has 288 divisors, whose sum is σ = 1943534960640. Its totient is φ = 186829286400.

The previous prime is 660344215991. The next prime is 660344216009. The reversal of 660344216004 is 400612443066.

660344216004 is a `hidden beast` number, since 6 + 6 + 0 + 3 + 4 + 42 + 1 + 600 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 660344216004.

It is not an unprimeable number, because it can be changed into a prime (660344216009) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 516296637 + ... + 516297915.

It is an arithmetic number, because the mean of its divisors is an integer number (6748385280).

Almost surely, 2^660344216004 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 660344216004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (971767480320).

660344216004 is an abundant number, since it is smaller than the sum of its proper divisors (1283190744636).

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

660344216004 is a wasteful number, since it uses less digits than its factorization.

660344216004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1871 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 660344216004 in words is "six hundred sixty billion, three hundred forty-four million, two hundred sixteen thousand, four".