680377536 has 448 divisors, whose sum is σ = 2370124800. Its totient is φ = 189775872.

The previous prime is 680377507. The next prime is 680377561. The reversal of 680377536 is 635773086.

680377536 is a `hidden beast` number, since 6 + 80 + 37 + 7 + 536 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 680377491 and 680377500.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12837286 + ... + 12837338.

Almost surely, 2^680377536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680377536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185062400).

680377536 is an abundant number, since it is smaller than the sum of its proper divisors (1689747264).

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

680377536 is a wasteful number, since it uses less digits than its factorization.

680377536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 680377536 is about 26084.0475386777. The cubic root of 680377536 is about 879.5286456452.

The spelling of 680377536 in words is "six hundred eighty million, three hundred seventy-seven thousand, five hundred thirty-six".