687025476900 has 243 divisors, whose sum is σ = 2505660577329. Its totient is φ = 156994608960.

The previous prime is 687025476887. The next prime is 687025476941. The reversal of 687025476900 is 9674520786.

The square root of 687025476900 is 828870.

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

687025476900 is a `hidden beast` number, since 6 + 8 + 7 + 0 + 2 + 547 + 6 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 247329171684 + 439696305216 = 497322^2 + 663096^2 .

It is a super-2 number, since 2×687025476900² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 174060727 + ... + 174064673.

Almost surely, 2^687025476900 is an apocalyptic number.

687025476900 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

687025476900 is the 828870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687025476900

687025476900 is an abundant number, since it is smaller than the sum of its proper divisors (1818635100429).

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

687025476900 is a wasteful number, since it uses less digits than its factorization.

687025476900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7928 (or 3964 counting only the distinct ones).

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

The spelling of 687025476900 in words is "six hundred eighty-seven billion, twenty-five million, four hundred seventy-six thousand, nine hundred".