6325309440000 has 1920 divisors, whose sum is σ = 25039461807360. Its totient is φ = 1592524800000.

The previous prime is 6325309439971. The next prime is 6325309440007. The reversal of 6325309440000 is 449035236.

6325309440000 is a `hidden beast` number, since 6 + 32 + 530 + 94 + 4 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×6325309440000² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6325309440007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 154275839980 + ... + 154275840020.

It is an arithmetic number, because the mean of its divisors is an integer number (13041386358).

Almost surely, 2^{6325309440000} is an apocalyptic number.

6325309440000 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 6325309440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12519730903680).

6325309440000 is an abundant number, since it is smaller than the sum of its proper divisors (18714152367360).

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

6325309440000 is an frugal number, since it uses more digits than its factorization.

6325309440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 82 counting only the distinct ones).

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

The spelling of 6325309440000 in words is "six trillion, three hundred twenty-five billion, three hundred nine million, four hundred forty thousand".