664718208000 has 704 divisors, whose sum is σ = 2756821257216. Its totient is φ = 138117120000.

The previous prime is 664718207999. The next prime is 664718208031. The reversal of 664718208000 is 802817466.

It is a tau number, because it is divible by the number of its divisors (704).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29556760 + ... + 29579240.

Almost surely, 2^664718208000 is an apocalyptic number.

664718208000 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 664718208000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378410628608).

664718208000 is an abundant number, since it is smaller than the sum of its proper divisors (2092103049216).

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

664718208000 is a wasteful number, since it uses less digits than its factorization.

664718208000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22537 (or 22509 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 664718208000 in words is "six hundred sixty-four billion, seven hundred eighteen million, two hundred eight thousand".