6333946164 has 288 divisors, whose sum is σ = 20789723136. Its totient is φ = 1581016320.

The previous prime is 6333946147. The next prime is 6333946217. The reversal of 6333946164 is 4616493336.

6333946164 is a `hidden beast` number, since 633 + 3 + 9 + 4 + 6 + 1 + 6 + 4 = 666.

It is a super-3 number, since 3×6333946164³ (a number of 30 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4772469 + ... + 4773795.

Almost surely, 2^6333946164 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 6333946164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10394861568).

6333946164 is an abundant number, since it is smaller than the sum of its proper divisors (14455776972).

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

6333946164 is a wasteful number, since it uses less digits than its factorization.

6333946164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1430 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 6333946164 is about 79586.0927800831. The cubic root of 6333946164 is about 1850.2260414329.

The spelling of 6333946164 in words is "six billion, three hundred thirty-three million, nine hundred forty-six thousand, one hundred sixty-four".