4643591680 has 320 divisors, whose sum is σ = 14167093248. Its totient is φ = 1420001280.

The previous prime is 4643591651. The next prime is 4643591683. The reversal of 4643591680 is 861953464.

It is a tau number, because it is divible by the number of its divisors (320).

It is a self number, because there is not a number n which added to its sum of digits gives 4643591680.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4643591683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7221439 + ... + 7222081.

Almost surely, 2^4643591680 is an apocalyptic number.

4643591680 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 4643591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7083546624).

4643591680 is an abundant number, since it is smaller than the sum of its proper divisors (9523501568).

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

4643591680 is a wasteful number, since it uses less digits than its factorization.

4643591680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The square root of 4643591680 is about 68143.9042027972. The cubic root of 4643591680 is about 1668.3404312557.

The spelling of 4643591680 in words is "four billion, six hundred forty-three million, five hundred ninety-one thousand, six hundred eighty".