4668633984 has 128 divisors (see below), whose sum is σ = 14219942400. Its totient is φ = 1329444864.

The previous prime is 4668633979. The next prime is 4668633997. The reversal of 4668633984 is 4893368664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×4668633984² = 43592286553119424512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 849357 + ... + 854835.

It is an arithmetic number, because the mean of its divisors is an integer number (111093300).

Almost surely, 2^4668633984 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 4668633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7109971200).

4668633984 is an abundant number, since it is smaller than the sum of its proper divisors (9551308416).

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

4668633984 is a wasteful number, since it uses less digits than its factorization.

4668633984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5820 (or 5808 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 57.

The square root of 4668633984 is about 68327.4028776157. The cubic root of 4668633984 is about 1671.3341059956.

The spelling of 4668633984 in words is "four billion, six hundred sixty-eight million, six hundred thirty-three thousand, nine hundred eighty-four".