4643023680 has 560 divisors, whose sum is σ = 17983815696. Its totient is φ = 1132462080.

The previous prime is 4643023669. The next prime is 4643023681. The reversal of 4643023680 is 863203464.

It is a happy number.

4643023680 is a `hidden beast` number, since 4 + 643 + 0 + 2 + 3 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72182016 + 4570841664 = 8496^2 + 67608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4643023681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18066112 + ... + 18066368.

Almost surely, 2^4643023680 is an apocalyptic number.

4643023680 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 4643023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8991907848).

4643023680 is an abundant number, since it is smaller than the sum of its proper divisors (13340792016).

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

4643023680 is a wasteful number, since it uses less digits than its factorization.

4643023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 4643023680 is about 68139.7364244976. The cubic root of 4643023680 is about 1668.2724051766.

The spelling of 4643023680 in words is "four billion, six hundred forty-three million, twenty-three thousand, six hundred eighty".