4687557864 has 256 divisors, whose sum is σ = 13705666560. Its totient is φ = 1322880000.

The previous prime is 4687557857. The next prime is 4687557893.

4687557864 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 4687557798 and 4687557807.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 43808899 + ... + 43809005.

It is an arithmetic number, because the mean of its divisors is an integer number (53537760).

Almost surely, 2^4687557864 is an apocalyptic number.

4687557864 is a gapful number since it is divisible by the number (44) 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 4687557864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852833280).

4687557864 is an abundant number, since it is smaller than the sum of its proper divisors (9018108696).

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

4687557864 is a wasteful number, since it uses less digits than its factorization.

4687557864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 308 counting only the distinct ones).

The product of its digits is 45158400, while the sum is 60.

The square root of 4687557864 is about 68465.7422657492. The cubic root of 4687557864 is about 1673.5892615892.

The spelling of 4687557864 in words is "four billion, six hundred eighty-seven million, five hundred fifty-seven thousand, eight hundred sixty-four".