4682787120 has 960 divisors, whose sum is σ = 19948723200. Its totient is φ = 1003622400.

The previous prime is 4682787113. The next prime is 4682787127. The reversal of 4682787120 is 217872864.

It is an interprime number because it is at equal distance from previous prime (4682787113) and next prime (4682787127).

It is a super-2 number, since 2×4682787120² = 43856990422475788800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4682787127) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114214300 + ... + 114214340.

It is an arithmetic number, because the mean of its divisors is an integer number (20779920).

Almost surely, 2^4682787120 is an apocalyptic number.

4682787120 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 4682787120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9974361600).

4682787120 is an abundant number, since it is smaller than the sum of its proper divisors (15265936080).

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

4682787120 is a wasteful number, since it uses less digits than its factorization.

4682787120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 4682787120 is about 68430.8930235460. The cubic root of 4682787120 is about 1673.0213058544.

The spelling of 4682787120 in words is "four billion, six hundred eighty-two million, seven hundred eighty-seven thousand, one hundred twenty".