4668769336320 has 528 divisors, whose sum is σ = 16760638177920. Its totient is φ = 1200232857600.

The previous prime is 4668769336279. The next prime is 4668769336331. The reversal of 4668769336320 is 236339678664.

4668769336320 is a `hidden beast` number, since 46 + 68 + 76 + 93 + 363 + 20 = 666.

It is a super-2 number, since 2×4668769336320² (a number of 26 digits) 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 (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016937225 + ... + 1016941815.

Almost surely, 2^{4668769336320} is an apocalyptic number.

4668769336320 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 4668769336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8380319088960).

4668769336320 is an abundant number, since it is smaller than the sum of its proper divisors (12091868841600).

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

4668769336320 is a wasteful number, since it uses less digits than its factorization.

4668769336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5412 (or 5391 counting only the distinct ones).

The product of its (nonzero) digits is 141087744, while the sum is 63.

The spelling of 4668769336320 in words is "four trillion, six hundred sixty-eight billion, seven hundred sixty-nine million, three hundred thirty-six thousand, three hundred twenty".