4668890073120 has 1728 divisors, whose sum is σ = 21670277328000. Its totient is φ = 933102084096.

The previous prime is 4668890073091. The next prime is 4668890073137. The reversal of 4668890073120 is 213700988664.

4668890073120 is a `hidden beast` number, since 466 + 8 + 8 + 90 + 0 + 73 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 679701046 + ... + 679707914.

It is an arithmetic number, because the mean of its divisors is an integer number (12540669750).

Almost surely, 2^{4668890073120} is an apocalyptic number.

4668890073120 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 4668890073120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10835138664000).

4668890073120 is an abundant number, since it is smaller than the sum of its proper divisors (17001387254880).

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

4668890073120 is a wasteful number, since it uses less digits than its factorization.

4668890073120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6918 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 4668890073120 in words is "four trillion, six hundred sixty-eight billion, eight hundred ninety million, seventy-three thousand, one hundred twenty".