66430610064 has 480 divisors, whose sum is σ = 234941907200. Its totient is φ = 17411272704.

The previous prime is 66430610053. The next prime is 66430610093. The reversal of 66430610064 is 46001603466.

66430610064 is a `hidden beast` number, since 6 + 6 + 4 + 30 + 610 + 0 + 6 + 4 = 666.

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

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 95 ways as a sum of consecutive naturals, for example, 197123304 + ... + 197123640.

Almost surely, 2^66430610064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66430610064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117470953600).

66430610064 is an abundant number, since it is smaller than the sum of its proper divisors (168511297136).

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

66430610064 is a wasteful number, since it uses less digits than its factorization.

66430610064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 66430610064 in words is "sixty-six billion, four hundred thirty million, six hundred ten thousand, sixty-four".