4688517120 has 192 divisors, whose sum is σ = 17143176960. Its totient is φ = 1071611904.

The previous prime is 4688517073. The next prime is 4688517143. The reversal of 4688517120 is 217158864.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204139 + ... + 225941.

It is an arithmetic number, because the mean of its divisors is an integer number (89287380).

Almost surely, 2^4688517120 is an apocalyptic number.

4688517120 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 4688517120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8571588480).

4688517120 is an abundant number, since it is smaller than the sum of its proper divisors (12454659840).

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

4688517120 is a wasteful number, since it uses less digits than its factorization.

4688517120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21840 (or 21820 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 4688517120 is about 68472.7472794834. The cubic root of 4688517120 is about 1673.7034142099.

The spelling of 4688517120 in words is "four billion, six hundred eighty-eight million, five hundred seventeen thousand, one hundred twenty".