4787687520 has 768 divisors, whose sum is σ = 21511526400. Its totient is φ = 965468160.

The previous prime is 4787687447. The next prime is 4787687537. The reversal of 4787687520 is 257867874.

It is a happy number.

4787687520 is a `hidden beast` number, since 47 + 8 + 76 + 8 + 7 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12307486 + ... + 12307874.

It is an arithmetic number, because the mean of its divisors is an integer number (28009800).

Almost surely, 2^4787687520 is an apocalyptic number.

4787687520 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 4787687520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10755763200).

4787687520 is an abundant number, since it is smaller than the sum of its proper divisors (16723838880).

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

4787687520 is a wasteful number, since it uses less digits than its factorization.

4787687520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The square root of 4787687520 is about 69193.1175768226. The cubic root of 4787687520 is about 1685.4217695197.

The spelling of 4787687520 in words is "four billion, seven hundred eighty-seven million, six hundred eighty-seven thousand, five hundred twenty".