321680358400 has 132 divisors (see below), whose sum is σ = 816828657120. Its totient is φ = 125533388800.

The previous prime is 321680358347. The next prime is 321680358403. The reversal of 321680358400 is 4853086123.

It is a super-3 number, since 3×321680358400³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321680358403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 896361 + ... + 1202839.

Almost surely, 2^321680358400 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 321680358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408414328560).

321680358400 is an abundant number, since it is smaller than the sum of its proper divisors (495148298720).

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

321680358400 is a wasteful number, since it uses less digits than its factorization.

321680358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306550 (or 306527 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 40.

The spelling of 321680358400 in words is "three hundred twenty-one billion, six hundred eighty million, three hundred fifty-eight thousand, four hundred".