6416416028160 has 320 divisors, whose sum is σ = 23782591388160. Its totient is φ = 1636650639360.

The previous prime is 6416416028153. The next prime is 6416416028173. The reversal of 6416416028160 is 618206146146.

6416416028160 is a `hidden beast` number, since 6 + 416 + 41 + 60 + 2 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428286 + ... + 3607805.

It is an arithmetic number, because the mean of its divisors is an integer number (74320598088).

Almost surely, 2^{6416416028160} is an apocalyptic number.

6416416028160 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 6416416028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11891295694080).

6416416028160 is an abundant number, since it is smaller than the sum of its proper divisors (17366175360000).

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

6416416028160 is a wasteful number, since it uses less digits than its factorization.

6416416028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4036146 (or 4036124 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 6416416028160 in words is "six trillion, four hundred sixteen billion, four hundred sixteen million, twenty-eight thousand, one hundred sixty".