4660117920 has 168 divisors, whose sum is σ = 16507154916. Its totient is φ = 1242667008.

The previous prime is 4660117907. The next prime is 4660117927. The reversal of 4660117920 is 297110664.

4660117920 is a `hidden beast` number, since 46 + 601 + 1 + 7 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4644149904 + 15968016 = 68148^2 + 3996^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4660117927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 96664 + ... + 136616.

Almost surely, 2^4660117920 is an apocalyptic number.

4660117920 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 4660117920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253577458).

4660117920 is an abundant number, since it is smaller than the sum of its proper divisors (11847036996).

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

4660117920 is an equidigital number, since it uses as much as digits as its factorization.

4660117920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39986 (or 39963 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4660117920 is about 68265.0563612160. The cubic root of 4660117920 is about 1670.3172595759.

The spelling of 4660117920 in words is "four billion, six hundred sixty million, one hundred seventeen thousand, nine hundred twenty".