6430325616000 has 3840 divisors, whose sum is σ = 30061598973120. Its totient is φ = 1345683456000.

The previous prime is 6430325615993. The next prime is 6430325616031. The reversal of 6430325616000 is 6165230346.

6430325616000 is a `hidden beast` number, since 6 + 4 + 3 + 0 + 32 + 5 + 616 + 0 + 0 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 40957487922 + ... + 40957488078.

Almost surely, 2^{6430325616000} is an apocalyptic number.

6430325616000 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 6430325616000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030799486560).

6430325616000 is an abundant number, since it is smaller than the sum of its proper divisors (23631273357120).

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

6430325616000 is a wasteful number, since it uses less digits than its factorization.

6430325616000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 6430325616000 in words is "six trillion, four hundred thirty billion, three hundred twenty-five million, six hundred sixteen thousand".