6433966656 has 336 divisors, whose sum is σ = 21434999040. Its totient is φ = 1828085760.

The previous prime is 6433966639. The next prime is 6433966661. The reversal of 6433966656 is 6566693346.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5832601 + ... + 5833703.

It is an arithmetic number, because the mean of its divisors is an integer number (63794640).

Almost surely, 2^6433966656 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 6433966656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10717499520).

6433966656 is an abundant number, since it is smaller than the sum of its proper divisors (15001032384).

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

6433966656 is a wasteful number, since it uses less digits than its factorization.

6433966656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1194 (or 1181 counting only the distinct ones).

The product of its digits is 12597120, while the sum is 54.

The square root of 6433966656 is about 80212.0106717192. The cubic root of 6433966656 is about 1859.9143075332.

The spelling of 6433966656 in words is "six billion, four hundred thirty-three million, nine hundred sixty-six thousand, six hundred fifty-six".