6305417865216 has 384 divisors, whose sum is σ = 19999351008000. Its totient is φ = 1955917725696.

The previous prime is 6305417865181. The next prime is 6305417865223. The reversal of 6305417865216 is 6125687145036.

It is a happy number.

6305417865216 is a `hidden beast` number, since 6 + 3 + 0 + 5 + 41 + 78 + 6 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83625165 + ... + 83700531.

It is an arithmetic number, because the mean of its divisors is an integer number (52081643250).

Almost surely, 2^{6305417865216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6305417865216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9999675504000).

6305417865216 is an abundant number, since it is smaller than the sum of its proper divisors (13693933142784).

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

6305417865216 is a wasteful number, since it uses less digits than its factorization.

6305417865216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75504 (or 75478 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 6305417865216 in words is "six trillion, three hundred five billion, four hundred seventeen million, eight hundred sixty-five thousand, two hundred sixteen".