664081289422320 has 1280 divisors, whose sum is σ = 2705241847726080. Its totient is φ = 130777439846400.

The previous prime is 664081289422303. The next prime is 664081289422333. The reversal of 664081289422320 is 23224982180466.

It is a super-3 number, since 3×664081289422320³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4295986791 + ... + 4296141369.

It is an arithmetic number, because the mean of its divisors is an integer number (2113470193536).

Almost surely, 2^{664081289422320} is an apocalyptic number.

664081289422320 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 664081289422320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1352620923863040).

664081289422320 is an abundant number, since it is smaller than the sum of its proper divisors (2041160558303760).

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

664081289422320 is a wasteful number, since it uses less digits than its factorization.

664081289422320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154814 (or 154808 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 664081289422320 in words is "six hundred sixty-four trillion, eighty-one billion, two hundred eighty-nine million, four hundred twenty-two thousand, three hundred twenty".