6324396480000 has 1200 divisors, whose sum is σ = 23954470315776. Its totient is φ = 1602754560000.

The previous prime is 6324396479983. The next prime is 6324396480037. The reversal of 6324396480000 is 846934236.

6324396480000 is a `hidden beast` number, since 63 + 24 + 3 + 96 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20335679845 + ... + 20335680155.

Almost surely, 2^{6324396480000} is an apocalyptic number.

6324396480000 is a gapful number since it is divisible by the number (60) 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 6324396480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11977235157888).

6324396480000 is an abundant number, since it is smaller than the sum of its proper divisors (17630073835776).

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

6324396480000 is a wasteful number, since it uses less digits than its factorization.

6324396480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 6324396480000 in words is "six trillion, three hundred twenty-four billion, three hundred ninety-six million, four hundred eighty thousand".