687871245600 has 1440 divisors, whose sum is σ = 3164703696000. Its totient is φ = 141237043200.

The previous prime is 687871245577. The next prime is 687871245647. The reversal of 687871245600 is 6542178786.

687871245600 is a `hidden beast` number, since 6 + 8 + 7 + 8 + 7 + 1 + 24 + 5 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 239 ways as a sum of consecutive naturals, for example, 444073626 + ... + 444075174.

It is an arithmetic number, because the mean of its divisors is an integer number (2197710900).

Almost surely, 2^687871245600 is an apocalyptic number.

687871245600 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 687871245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1582351848000).

687871245600 is an abundant number, since it is smaller than the sum of its proper divisors (2476832450400).

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

687871245600 is a wasteful number, since it uses less digits than its factorization.

687871245600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1666 counting only the distinct ones).

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

The spelling of 687871245600 in words is "six hundred eighty-seven billion, eight hundred seventy-one million, two hundred forty-five thousand, six hundred".