664911587768064 has 576 divisors, whose sum is σ = 2263160436031488. Its totient is φ = 168580528128000.

The previous prime is 664911587767991. The next prime is 664911587768119. The reversal of 664911587768064 is 460867785119466.

It is a super-3 number, since 3×664911587768064³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 326129497 + ... + 328161959.

Almost surely, 2^{664911587768064} is an apocalyptic number.

664911587768064 is a gapful number since it is divisible by the number (64) 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 664911587768064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131580218015744).

664911587768064 is an abundant number, since it is smaller than the sum of its proper divisors (1598248848263424).

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

664911587768064 is a wasteful number, since it uses less digits than its factorization.

664911587768064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032684 (or 2032670 counting only the distinct ones).

The product of its (nonzero) digits is 2926264320, while the sum is 78.

The spelling of 664911587768064 in words is "six hundred sixty-four trillion, nine hundred eleven billion, five hundred eighty-seven million, seven hundred sixty-eight thousand, sixty-four".