609736680 has 256 divisors, whose sum is σ = 2363904000. Its totient is φ = 136905984.

The previous prime is 609736643. The next prime is 609736681. The reversal of 609736680 is 86637906.

609736680 is a `hidden beast` number, since 609 + 7 + 36 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (609736681) by changing a digit.

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, 445357 + ... + 446723.

It is an arithmetic number, because the mean of its divisors is an integer number (9234000).

Almost surely, 2^609736680 is an apocalyptic number.

609736680 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 609736680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1181952000).

609736680 is an abundant number, since it is smaller than the sum of its proper divisors (1754167320).

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

609736680 is a wasteful number, since it uses less digits than its factorization.

609736680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1453 (or 1443 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 609736680 is about 24692.8467374663. The cubic root of 609736680 is about 847.9705586373.

The spelling of 609736680 in words is "six hundred nine million, seven hundred thirty-six thousand, six hundred eighty".