4643941680 has 960 divisors, whose sum is σ = 20610288000. Its totient is φ = 953745408.

The previous prime is 4643941633. The next prime is 4643941691. The reversal of 4643941680 is 861493464.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 52179076 + ... + 52179164.

It is an arithmetic number, because the mean of its divisors is an integer number (21469050).

Almost surely, 2^4643941680 is an apocalyptic number.

4643941680 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 4643941680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10305144000).

4643941680 is an abundant number, since it is smaller than the sum of its proper divisors (15966346320).

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

4643941680 is a wasteful number, since it uses less digits than its factorization.

4643941680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 4643941680 is about 68146.4722491194. The cubic root of 4643941680 is about 1668.3823459718.

The spelling of 4643941680 in words is "four billion, six hundred forty-three million, nine hundred forty-one thousand, six hundred eighty".