664212044160 has 2304 divisors, whose sum is σ = 3014354347200. Its totient is φ = 137673768960.

The previous prime is 664212044147. The next prime is 664212044207. The reversal of 664212044160 is 61440212466.

664212044160 is a `hidden beast` number, since 6 + 642 + 1 + 2 + 0 + 4 + 4 + 1 + 6 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 12532302694 + ... + 12532302746.

Almost surely, 2^664212044160 is an apocalyptic number.

664212044160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 664212044160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1507177173600).

664212044160 is an abundant number, since it is smaller than the sum of its proper divisors (2350142303040).

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

664212044160 is a wasteful number, since it uses less digits than its factorization.

664212044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 664212044160 in words is "six hundred sixty-four billion, two hundred twelve million, forty-four thousand, one hundred sixty".