4830437664 has 288 divisors, whose sum is σ = 16209713520. Its totient is φ = 1350107136.

The previous prime is 4830437657. The next prime is 4830437671. The reversal of 4830437664 is 4667340384.

4830437664 is a `hidden beast` number, since 483 + 0 + 43 + 76 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (4830437657) and next prime (4830437671).

It can be written as a sum of positive squares in 8 ways, for example, as 3694208400 + 1136229264 = 60780^2 + 33708^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1844484 + ... + 1847100.

Almost surely, 2^4830437664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4830437664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8104856760).

4830437664 is an abundant number, since it is smaller than the sum of its proper divisors (11379275856).

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

4830437664 is a wasteful number, since it uses less digits than its factorization.

4830437664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2692 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 4830437664 is about 69501.3500876062. The cubic root of 4830437664 is about 1690.4233926297.

The spelling of 4830437664 in words is "four billion, eight hundred thirty million, four hundred thirty-seven thousand, six hundred sixty-four".