65664458200 has 96 divisors (see below), whose sum is σ = 168023464560. Its totient is φ = 23666585600.

The previous prime is 65664458161. The next prime is 65664458239. The reversal of 65664458200 is 285446656.

It is an interprime number because it is at equal distance from previous prime (65664458161) and next prime (65664458239).

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 116532 + ... + 380668.

Almost surely, 2^65664458200 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 65664458200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84011732280).

65664458200 is an abundant number, since it is smaller than the sum of its proper divisors (102359006360).

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

65664458200 is a wasteful number, since it uses less digits than its factorization.

65664458200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264277 (or 264268 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 46.

The spelling of 65664458200 in words is "sixty-five billion, six hundred sixty-four million, four hundred fifty-eight thousand, two hundred".