324172800000 has 1344 divisors, whose sum is σ = 1392465876480. Its totient is φ = 72990720000.

The previous prime is 324172799987. The next prime is 324172800001. The reversal of 324172800000 is 8271423.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (324172800001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4838399967 + ... + 4838400033.

It is an arithmetic number, because the mean of its divisors is an integer number (1036060920).

Almost surely, 2^324172800000 is an apocalyptic number.

324172800000 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 324172800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696232938240).

324172800000 is an abundant number, since it is smaller than the sum of its proper divisors (1068293076480).

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

324172800000 is an frugal number, since it uses more digits than its factorization.

324172800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The spelling of 324172800000 in words is "three hundred twenty-four billion, one hundred seventy-two million, eight hundred thousand".