4943429664768 has 1024 divisors, whose sum is σ = 18048653568000. Its totient is φ = 1305615532032.

The previous prime is 4943429664757. The next prime is 4943429664773. The reversal of 4943429664768 is 8674669243494.

4943429664768 is a `hidden beast` number, since 4 + 9 + 43 + 429 + 66 + 47 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 4943429664696 and 4943429664705.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5059804696 + ... + 5059805672.

It is an arithmetic number, because the mean of its divisors is an integer number (17625638250).

Almost surely, 2^{4943429664768} is an apocalyptic number.

4943429664768 is a gapful number since it is divisible by the number (48) 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 4943429664768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9024326784000).

4943429664768 is an abundant number, since it is smaller than the sum of its proper divisors (13105223903232).

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

4943429664768 is an equidigital number, since it uses as much as digits as its factorization.

4943429664768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1051 counting only the distinct ones).

The product of its digits is 1504935936, while the sum is 72.

The spelling of 4943429664768 in words is "four trillion, nine hundred forty-three billion, four hundred twenty-nine million, six hundred sixty-four thousand, seven hundred sixty-eight".