4641683760 has 360 divisors, whose sum is σ = 18275727600. Its totient is φ = 1052642304.

The previous prime is 4641683749. The next prime is 4641683771. The reversal of 4641683760 is 673861464.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4641683749) and next prime (4641683771).

It is a tau number, because it is divible by the number of its divisors (360).

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 71 ways as a sum of consecutive naturals, for example, 5256279 + ... + 5257161.

It is an arithmetic number, because the mean of its divisors is an integer number (50765910).

Almost surely, 2^4641683760 is an apocalyptic number.

4641683760 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 4641683760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9137863800).

4641683760 is an abundant number, since it is smaller than the sum of its proper divisors (13634043840).

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

4641683760 is a wasteful number, since it uses less digits than its factorization.

4641683760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1065 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4641683760 is about 68129.9035666425. The cubic root of 4641683760 is about 1668.1119087141. Note that the first 3 decimals are identical.

The spelling of 4641683760 in words is "four billion, six hundred forty-one million, six hundred eighty-three thousand, seven hundred sixty".