4787532864 has 175 divisors, whose sum is σ = 14664804935. Its totient is φ = 1544365440.

The previous prime is 4787532829. The next prime is 4787532917. The reversal of 4787532864 is 4682357874.

The square root of 4787532864 is 69192.

It is a perfect power (a square), and thus also a powerful number.

4787532864 is a `hidden beast` number, since 47 + 8 + 7 + 532 + 8 + 64 = 666.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=186.

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

It is a Duffinian number.

Its product of digits (9031680) is a multiple of the sum of its prime divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4787532864.

It is an unprimeable number.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 154436529 + ... + 154436559.

Almost surely, 2^4787532864 is an apocalyptic number.

4787532864 is the 69192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4787532864

4787532864 is an abundant number, since it is smaller than the sum of its proper divisors (9877272071).

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

4787532864 is an frugal number, since it uses more digits than its factorization.

4787532864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 36 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 54.

The cubic root of 4787532864 is about 1685.4036213431.

The spelling of 4787532864 in words is "four billion, seven hundred eighty-seven million, five hundred thirty-two thousand, eight hundred sixty-four".