664889610528000 has 3456 divisors, whose sum is σ = 2956564638203904. Its totient is φ = 141171351552000.

The previous prime is 664889610527999. The next prime is 664889610528019. The reversal of 664889610528000 is 825016988466.

664889610528000 is a `hidden beast` number, since 6 + 6 + 4 + 8 + 8 + 9 + 610 + 5 + 2 + 8 + 0 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 120298461237 + ... + 120298466763.

It is an arithmetic number, because the mean of its divisors is an integer number (855487453184).

Almost surely, 2^{664889610528000} is an apocalyptic number.

664889610528000 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 664889610528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1478282319101952).

664889610528000 is an abundant number, since it is smaller than the sum of its proper divisors (2291675027675904).

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

664889610528000 is a wasteful number, since it uses less digits than its factorization.

664889610528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5738 (or 5711 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 664889610528000 in words is "six hundred sixty-four trillion, eight hundred eighty-nine billion, six hundred ten million, five hundred twenty-eight thousand".