6466646016 has 312 divisors, whose sum is σ = 19856949840. Its totient is φ = 2102132736.

The previous prime is 6466646009. The next prime is 6466646033. The reversal of 6466646016 is 6106466646.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72658900 + ... + 72658988.

It is an arithmetic number, because the mean of its divisors is an integer number (63644070).

Almost surely, 2^6466646016 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 6466646016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9928474920).

6466646016 is an abundant number, since it is smaller than the sum of its proper divisors (13390303824).

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

6466646016 is an frugal number, since it uses more digits than its factorization.

6466646016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 6466646016 is about 80415.4588123453. The cubic root of 6466646016 is about 1863.0579458744.

The spelling of 6466646016 in words is "six billion, four hundred sixty-six million, six hundred forty-six thousand, sixteen".