6449186016 has 432 divisors, whose sum is σ = 23711740416. Its totient is φ = 1624955904.

The previous prime is 6449185999. The next prime is 6449186041. The reversal of 6449186016 is 6106819446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7835781 + ... + 7836603.

It is an arithmetic number, because the mean of its divisors is an integer number (54888288).

Almost surely, 2^6449186016 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 6449186016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11855870208).

6449186016 is an abundant number, since it is smaller than the sum of its proper divisors (17262554400).

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

6449186016 is a wasteful number, since it uses less digits than its factorization.

6449186016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 871 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 6449186016 is about 80306.8242181198. The cubic root of 6449186016 is about 1861.3796770142.

The spelling of 6449186016 in words is "six billion, four hundred forty-nine million, one hundred eighty-six thousand, sixteen".