6416905487616 has 288 divisors, whose sum is σ = 20470235829120. Its totient is φ = 1971086524416.

The previous prime is 6416905487569. The next prime is 6416905487653. The reversal of 6416905487616 is 6167845096146.

It is a happy number.

6416905487616 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 9 + 0 + 5 + 4 + 8 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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, 53224395 + ... + 53344821.

It is an arithmetic number, because the mean of its divisors is an integer number (71077207740).

Almost surely, 2^{6416905487616} 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 6416905487616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10235117914560).

6416905487616 is an abundant number, since it is smaller than the sum of its proper divisors (14053330341504).

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

6416905487616 is a wasteful number, since it uses less digits than its factorization.

6416905487616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121058 (or 121038 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 6416905487616 in words is "six trillion, four hundred sixteen billion, nine hundred five million, four hundred eighty-seven thousand, six hundred sixteen".