687099676032 has 288 divisors, whose sum is σ = 2509103212200. Its totient is φ = 178467287040.

The previous prime is 687099676013. The next prime is 687099676061. The reversal of 687099676032 is 230676990786.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 67644 + ... + 1174212.

Almost surely, 2^687099676032 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 687099676032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254551606100).

687099676032 is an abundant number, since it is smaller than the sum of its proper divisors (1822003536168).

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

687099676032 is a wasteful number, since it uses less digits than its factorization.

687099676032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106614 (or 1106592 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 687099676032 in words is "six hundred eighty-seven billion, ninety-nine million, six hundred seventy-six thousand, thirty-two".