687572648100 has 432 divisors, whose sum is σ = 2348101868112. Its totient is φ = 167277035520.

The previous prime is 687572648083. The next prime is 687572648131. The reversal of 687572648100 is 1846275786.

687572648100 is a `hidden beast` number, since 6 + 8 + 7 + 572 + 64 + 8 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 598258934784 + 89313713316 = 773472^2 + 298854^2 .

It is a super-2 number, since 2×687572648100² (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 (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 784004862 + ... + 784005738.

It is an arithmetic number, because the mean of its divisors is an integer number (5435420991).

Almost surely, 2^687572648100 is an apocalyptic number.

687572648100 is a gapful number since it is divisible by the number (60) 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 687572648100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174050934056).

687572648100 is an abundant number, since it is smaller than the sum of its proper divisors (1660529220012).

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

687572648100 is a wasteful number, since it uses less digits than its factorization.

687572648100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1616 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

It can be divided in two parts, 68757264 and 8100, that multiplied together give a square (556933838400 = 746280²).

The spelling of 687572648100 in words is "six hundred eighty-seven billion, five hundred seventy-two million, six hundred forty-eight thousand, one hundred".