6345385547904 has 1792 divisors, whose sum is σ = 22655382220800. Its totient is φ = 1751906672640.

The previous prime is 6345385547857. The next prime is 6345385547927. The reversal of 6345385547904 is 4097455835436.

6345385547904 is a `hidden beast` number, since 6 + 3 + 4 + 5 + 3 + 8 + 554 + 79 + 0 + 4 = 666.

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 223 ways as a sum of consecutive naturals, for example, 59302668619 + ... + 59302668725.

It is an arithmetic number, because the mean of its divisors is an integer number (12642512400).

Almost surely, 2^{6345385547904} is an apocalyptic number.

6345385547904 is a gapful number since it is divisible by the number (64) 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 6345385547904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11327691110400).

6345385547904 is an abundant number, since it is smaller than the sum of its proper divisors (16309996672896).

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

6345385547904 is a wasteful number, since it uses less digits than its factorization.

6345385547904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 217728000, while the sum is 63.

The spelling of 6345385547904 in words is "six trillion, three hundred forty-five billion, three hundred eighty-five million, five hundred forty-seven thousand, nine hundred four".