4686007500 has 180 divisors, whose sum is σ = 15673714056. Its totient is φ = 1176000000.

The previous prime is 4686007493. The next prime is 4686007507. The reversal of 4686007500 is 57006864.

It is a happy number.

4686007500 is a `hidden beast` number, since 46 + 8 + 600 + 7 + 5 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4686007493) and next prime (4686007507).

It is a tau number, because it is divible by the number of its divisors (180).

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 (4686007507) 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 59 ways as a sum of consecutive naturals, for example, 376375 + ... + 388625.

Almost surely, 2^4686007500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4686007500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7836857028).

4686007500 is an abundant number, since it is smaller than the sum of its proper divisors (10987706556).

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

4686007500 is a wasteful number, since it uses less digits than its factorization.

4686007500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12298 (or 12278 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 4686007500 is about 68454.4191414988. The cubic root of 4686007500 is about 1673.4047334743.

It can be divided in two parts, 468600 and 7500, that added together give a square (476100 = 690²).

The spelling of 4686007500 in words is "four billion, six hundred eighty-six million, seven thousand, five hundred".