687266985600 has 576 divisors, whose sum is σ = 2738820433440. Its totient is φ = 169170923520.

The previous prime is 687266985553. The next prime is 687266985607. The reversal of 687266985600 is 6589662786.

687266985600 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 6 + 69 + 8 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (687266985607) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10074807 + ... + 10142793.

Almost surely, 2^687266985600 is an apocalyptic number.

687266985600 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 687266985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369410216720).

687266985600 is an abundant number, since it is smaller than the sum of its proper divisors (2051553447840).

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

687266985600 is a wasteful number, since it uses less digits than its factorization.

687266985600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68039 (or 68010 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 687266985600 in words is "six hundred eighty-seven billion, two hundred sixty-six million, nine hundred eighty-five thousand, six hundred".