4643389768320 has 768 divisors, whose sum is σ = 16889592545280. Its totient is φ = 1174059048960.

The previous prime is 4643389768309. The next prime is 4643389768321. The reversal of 4643389768320 is 238679833464.

4643389768320 is a `hidden beast` number, since 46 + 433 + 89 + 7 + 6 + 83 + 2 + 0 = 666.

It is a super-2 number, since 2×4643389768320² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4643389768321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1882199727 + ... + 1882202193.

It is an arithmetic number, because the mean of its divisors is an integer number (21991656960).

Almost surely, 2^{4643389768320} is an apocalyptic number.

4643389768320 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 4643389768320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8444796272640).

4643389768320 is an abundant number, since it is smaller than the sum of its proper divisors (12246202776960).

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

4643389768320 is a wasteful number, since it uses less digits than its factorization.

4643389768320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2733 (or 2718 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 63.

The spelling of 4643389768320 in words is "four trillion, six hundred forty-three billion, three hundred eighty-nine million, seven hundred sixty-eight thousand, three hundred twenty".