324616406400 has 1728 divisors, whose sum is σ = 1432091934000. Its totient is φ = 69016780800.

The previous prime is 324616406381. The next prime is 324616406567. The reversal of 324616406400 is 4604616423.

324616406400 is a `hidden beast` number, since 3 + 2 + 4 + 6 + 1 + 6 + 4 + 0 + 640 + 0 = 666.

It is a super-2 number, since 2×324616406400² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2178633526 + ... + 2178633674.

Almost surely, 2^324616406400 is an apocalyptic number.

324616406400 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 324616406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716045967000).

324616406400 is an abundant number, since it is smaller than the sum of its proper divisors (1107475527600).

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

324616406400 is a wasteful number, since it uses less digits than its factorization.

324616406400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 324616406400 in words is "three hundred twenty-four billion, six hundred sixteen million, four hundred six thousand, four hundred".