4733964000 has 480 divisors, whose sum is σ = 18313495200. Its totient is φ = 1194393600.

The previous prime is 4733963947. The next prime is 4733964073. The reversal of 4733964000 is 4693374.

4733964000 is a `hidden beast` number, since 4 + 7 + 3 + 3 + 9 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6155616 + ... + 6156384.

It is an arithmetic number, because the mean of its divisors is an integer number (38153115).

Almost surely, 2^4733964000 is an apocalyptic number.

4733964000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4733964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9156747600).

4733964000 is an abundant number, since it is smaller than the sum of its proper divisors (13579531200).

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

4733964000 is a wasteful number, since it uses less digits than its factorization.

4733964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 4733964000 is about 68803.8080341488. The cubic root of 4733964000 is about 1679.0938991413.

The spelling of 4733964000 in words is "four billion, seven hundred thirty-three million, nine hundred sixty-four thousand".