4788645120 has 432 divisors, whose sum is σ = 19389482112. Its totient is φ = 1068318720.

The previous prime is 4788645101. The next prime is 4788645137. The reversal of 4788645120 is 215468874.

4788645120 is a `hidden beast` number, since 4 + 78 + 8 + 64 + 512 + 0 = 666.

It is a super-2 number, since 2×4788645120² = 45862244170599628800, which contains 22 as substring.

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

It is a congruent number.

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, 3466830 + ... + 3468210.

Almost surely, 2^4788645120 is an apocalyptic number.

4788645120 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 4788645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9694741056).

4788645120 is an abundant number, since it is smaller than the sum of its proper divisors (14600836992).

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

4788645120 is a wasteful number, since it uses less digits than its factorization.

4788645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1458 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 4788645120 is about 69200.0369942098. The cubic root of 4788645120 is about 1685.5341308136.

The spelling of 4788645120 in words is "four billion, seven hundred eighty-eight million, six hundred forty-five thousand, one hundred twenty".