4633568016000 has 2048 divisors, whose sum is σ = 20321085358080. Its totient is φ = 905748480000.

The previous prime is 4633568015987. The next prime is 4633568016047. The reversal of 4633568016000 is 6108653364.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4239311454 + ... + 4239312546.

It is an arithmetic number, because the mean of its divisors is an integer number (9922404960).

Almost surely, 2^{4633568016000} is an apocalyptic number.

4633568016000 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 4633568016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10160542679040).

4633568016000 is an abundant number, since it is smaller than the sum of its proper divisors (15687517342080).

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

4633568016000 is a wasteful number, since it uses less digits than its factorization.

4633568016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 4633568016000 in words is "four trillion, six hundred thirty-three billion, five hundred sixty-eight million, sixteen thousand".