4664295120 has 160 divisors (see below), whose sum is σ = 15199027200. Its totient is φ = 1180979712.

The previous prime is 4664295113. The next prime is 4664295121. The reversal of 4664295120 is 215924664.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4664295121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 764241 + ... + 770319.

It is an arithmetic number, because the mean of its divisors is an integer number (94993920).

Almost surely, 2^4664295120 is an apocalyptic number.

4664295120 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 4664295120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7599513600).

4664295120 is an abundant number, since it is smaller than the sum of its proper divisors (10534732080).

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

4664295120 is a wasteful number, since it uses less digits than its factorization.

4664295120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6257 (or 6251 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 4664295120 is about 68295.6449563221. The cubic root of 4664295120 is about 1670.8161858317.

The spelling of 4664295120 in words is "four billion, six hundred sixty-four million, two hundred ninety-five thousand, one hundred twenty".