4660830720 has 1200 divisors, whose sum is σ = 21746197440. Its totient is φ = 931627008.

The previous prime is 4660830661. The next prime is 4660830731. The reversal of 4660830720 is 270380664.

4660830720 is a `hidden beast` number, since 46 + 608 + 3 + 0 + 7 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 245306871 + ... + 245306889.

Almost surely, 2^4660830720 is an apocalyptic number.

4660830720 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 4660830720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10873098720).

4660830720 is an abundant number, since it is smaller than the sum of its proper divisors (17085366720).

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

4660830720 is a wasteful number, since it uses less digits than its factorization.

4660830720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 4660830720 is about 68270.2769878664. The cubic root of 4660830720 is about 1670.4024177531.

The spelling of 4660830720 in words is "four billion, six hundred sixty million, eight hundred thirty thousand, seven hundred twenty".