4687528257864 has 24 divisors (see below), whose sum is σ = 12695389031910. Its totient is φ = 1562509419264.

The previous prime is 4687528257793. The next prime is 4687528257949.

4687528257864 is a `hidden beast` number, since 4 + 6 + 8 + 7 + 528 + 25 + 78 + 6 + 4 = 666.

4687528257864 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 4149197893764 + 538330364100 = 2036958^2 + 733710^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 65104559137 = 4687528257864 / (4 + 6 + 8 + 7 + 5 + 2 + 8 + 2 + 5 + 7 + 8 + 6 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 4687528257792 and 4687528257801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 32552279497 + ... + 32552279640.

Almost surely, 2^{4687528257864} is an apocalyptic number.

It is an amenable number.

4687528257864 is an abundant number, since it is smaller than the sum of its proper divisors (8007860774046).

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

4687528257864 is a wasteful number, since it uses less digits than its factorization.

4687528257864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65104559149 (or 65104559142 counting only the distinct ones).

The product of its digits is 1445068800, while the sum is 72.

The spelling of 4687528257864 in words is "four trillion, six hundred eighty-seven billion, five hundred twenty-eight million, two hundred fifty-seven thousand, eight hundred sixty-four".