4668939031680 has 1536 divisors, whose sum is σ = 20897404876800. Its totient is φ = 957102981120.

The previous prime is 4668939031661. The next prime is 4668939031703. The reversal of 4668939031680 is 861309398664.

4668939031680 is a `hidden beast` number, since 4 + 6 + 6 + 89 + 390 + 3 + 168 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10539365539 + ... + 10539365981.

It is an arithmetic number, because the mean of its divisors is an integer number (13605081300).

Almost surely, 2^{4668939031680} is an apocalyptic number.

4668939031680 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 4668939031680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10448702438400).

4668939031680 is an abundant number, since it is smaller than the sum of its proper divisors (16228465845120).

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

4668939031680 is a wasteful number, since it uses less digits than its factorization.

4668939031680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 560 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 4668939031680 in words is "four trillion, six hundred sixty-eight billion, nine hundred thirty-nine million, thirty-one thousand, six hundred eighty".