6416169854976 has 288 divisors, whose sum is σ = 21186150148800. Its totient is φ = 1832518287360.

The previous prime is 6416169854971. The next prime is 6416169854977. The reversal of 6416169854976 is 6794589616146.

It is a happy number.

6416169854976 is a `hidden beast` number, since 6 + 4 + 1 + 6 + 1 + 6 + 9 + 8 + 549 + 76 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (6416169854971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429771480 + ... + 429786408.

It is an arithmetic number, because the mean of its divisors is an integer number (73563021350).

Almost surely, 2^{6416169854976} 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 6416169854976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10593075074400).

6416169854976 is an abundant number, since it is smaller than the sum of its proper divisors (14769980293824).

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

6416169854976 is a wasteful number, since it uses less digits than its factorization.

6416169854976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18295 (or 18272 counting only the distinct ones).

The product of its digits is 470292480, while the sum is 72.

The spelling of 6416169854976 in words is "six trillion, four hundred sixteen billion, one hundred sixty-nine million, eight hundred fifty-four thousand, nine hundred seventy-six".