4686738120 has 48 divisors (see below), whose sum is σ = 15231900060. Its totient is φ = 1249796736.

The previous prime is 4686738107. The next prime is 4686738127. The reversal of 4686738120 is 218376864.

4686738120 is a `hidden beast` number, since 468 + 67 + 3 + 8 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4587894756 + 98843364 = 67734^2 + 9942^2 .

It is a super-2 number, since 2×4686738120² = 43931028410922268800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 (4686738127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6508999 + ... + 6509718.

Almost surely, 2^4686738120 is an apocalyptic number.

4686738120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4686738120 is an abundant number, since it is smaller than the sum of its proper divisors (10545161940).

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

4686738120 is a wasteful number, since it uses less digits than its factorization.

4686738120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13018734 (or 13018727 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 4686738120 is about 68459.7554772145. The cubic root of 4686738120 is about 1673.4916987235.

The spelling of 4686738120 in words is "four billion, six hundred eighty-six million, seven hundred thirty-eight thousand, one hundred twenty".