4679687520 has 240 divisors, whose sum is σ = 16920132768. Its totient is φ = 1217341440.

The previous prime is 4679687489. The next prime is 4679687521. The reversal of 4679687520 is 257869764.

4679687520 is a `hidden beast` number, since 46 + 79 + 6 + 8 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4679687521) 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 39 ways as a sum of consecutive naturals, for example, 526957 + ... + 535763.

Almost surely, 2^4679687520 is an apocalyptic number.

4679687520 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 4679687520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8460066384).

4679687520 is an abundant number, since it is smaller than the sum of its proper divisors (12240445248).

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

4679687520 is a wasteful number, since it uses less digits than its factorization.

4679687520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8858 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The square root of 4679687520 is about 68408.2416087419. The cubic root of 4679687520 is about 1672.6520925855.

The spelling of 4679687520 in words is "four billion, six hundred seventy-nine million, six hundred eighty-seven thousand, five hundred twenty".