64385323200 has 672 divisors, whose sum is σ = 257974917120. Its totient is φ = 15491174400.

The previous prime is 64385323193. The next prime is 64385323213. The reversal of 64385323200 is 232358346.

It is a happy number.

64385323200 is a `hidden beast` number, since 64 + 38 + 532 + 32 + 0 + 0 = 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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74605969 + ... + 74606831.

Almost surely, 2^64385323200 is an apocalyptic number.

64385323200 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 64385323200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128987458560).

64385323200 is an abundant number, since it is smaller than the sum of its proper divisors (193589593920).

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

64385323200 is a wasteful number, since it uses less digits than its factorization.

64385323200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 64385323200 in words is "sixty-four billion, three hundred eighty-five million, three hundred twenty-three thousand, two hundred".