321504768000 has 832 divisors, whose sum is σ = 1280862710400. Its totient is φ = 79095398400.

The previous prime is 321504767981. The next prime is 321504768007. The reversal of 321504768000 is 867405123.

321504768000 is a `hidden beast` number, since 3 + 2 + 1 + 504 + 76 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321504768007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179711106 + ... + 179712894.

It is an arithmetic number, because the mean of its divisors is an integer number (1539498450).

Almost surely, 2^321504768000 is an apocalyptic number.

321504768000 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 321504768000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (640431355200).

321504768000 is an abundant number, since it is smaller than the sum of its proper divisors (959357942400).

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

321504768000 is a wasteful number, since it uses less digits than its factorization.

321504768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 1812 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 321504768000 in words is "three hundred twenty-one billion, five hundred four million, seven hundred sixty-eight thousand".