64005312000 has 320 divisors, whose sum is σ = 243207005184. Its totient is φ = 14629478400.

The previous prime is 64005311987. The next prime is 64005312043. The reversal of 64005312000 is 21350046.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1320189 + ... + 1367811.

Almost surely, 2^64005312000 is an apocalyptic number.

64005312000 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 64005312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121603502592).

64005312000 is an abundant number, since it is smaller than the sum of its proper divisors (179201693184).

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

64005312000 is an equidigital number, since it uses as much as digits as its factorization.

64005312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47666 (or 47640 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

Adding to 64005312000 its reverse (21350046), we get a palindrome (64026662046).

The spelling of 64005312000 in words is "sixty-four billion, five million, three hundred twelve thousand".