321604473600 has 1188 divisors, whose sum is σ = 1279613422416. Its totient is φ = 79815352320.

The previous prime is 321604473527. The next prime is 321604473679. The reversal of 321604473600 is 6374406123.

It is a happy number.

321604473600 is a `hidden beast` number, since 3 + 2 + 1 + 6 + 0 + 4 + 47 + 3 + 600 = 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 polite number, since it can be written in 131 ways as a sum of consecutive naturals, for example, 8692012782 + ... + 8692012818.

Almost surely, 2^321604473600 is an apocalyptic number.

321604473600 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 321604473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639806711208).

321604473600 is an abundant number, since it is smaller than the sum of its proper divisors (958008948816).

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

321604473600 is an frugal number, since it uses more digits than its factorization.

321604473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 321604473600 its reverse (6374406123), we get a palindrome (327978879723).

The spelling of 321604473600 in words is "three hundred twenty-one billion, six hundred four million, four hundred seventy-three thousand, six hundred".