646576446816 has 192 divisors, whose sum is σ = 1951111895040. Its totient is φ = 208098408960.

The previous prime is 646576446797. The next prime is 646576446839. The reversal of 646576446816 is 618644675646.

It is a happy number.

646576446816 is a `hidden beast` number, since 6 + 4 + 6 + 576 + 4 + 46 + 8 + 16 = 666.

646576446816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×646576446816² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11838066 + ... + 11892558.

It is an arithmetic number, because the mean of its divisors is an integer number (10162041120).

Almost surely, 2^646576446816 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 646576446816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (975555947520).

646576446816 is an abundant number, since it is smaller than the sum of its proper divisors (1304535448224).

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

646576446816 is a wasteful number, since it uses less digits than its factorization.

646576446816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54986 (or 54972 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 646576446816 in words is "six hundred forty-six billion, five hundred seventy-six million, four hundred forty-six thousand, eight hundred sixteen".