6330485145600 has 3456 divisors, whose sum is σ = 30348954417600. Its totient is φ = 1293130137600.

The previous prime is 6330485145587. The next prime is 6330485145637. The reversal of 6330485145600 is 65415840336.

6330485145600 is a `hidden beast` number, since 6 + 3 + 3 + 0 + 4 + 85 + 1 + 4 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 107296358371 + ... + 107296358429.

Almost surely, 2^{6330485145600} is an apocalyptic number.

6330485145600 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 6330485145600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15174477208800).

6330485145600 is an abundant number, since it is smaller than the sum of its proper divisors (24018469272000).

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

6330485145600 is an equidigital number, since it uses as much as digits as its factorization.

6330485145600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 6330485145600 in words is "six trillion, three hundred thirty billion, four hundred eighty-five million, one hundred forty-five thousand, six hundred".