321064128000 has 2560 divisors, whose sum is σ = 1568813875200. Its totient is φ = 62705664000.

The previous prime is 321064127939. The next prime is 321064128029. The reversal of 321064128000 is 821460123.

321064128000 is a `hidden beast` number, since 3 + 2 + 10 + 641 + 2 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2528063937 + ... + 2528064063.

It is an arithmetic number, because the mean of its divisors is an integer number (612817920).

Almost surely, 2^321064128000 is an apocalyptic number.

321064128000 is a gapful number since it is divisible by the number (30) 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 321064128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784406937600).

321064128000 is an abundant number, since it is smaller than the sum of its proper divisors (1247749747200).

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

321064128000 is a wasteful number, since it uses less digits than its factorization.

321064128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 321064128000 its reverse (821460123), we get a palindrome (321885588123).

The spelling of 321064128000 in words is "three hundred twenty-one billion, sixty-four million, one hundred twenty-eight thousand".