687660986880 has 1920 divisors, whose sum is σ = 3065220956160. Its totient is φ = 142968913920.

The previous prime is 687660986833. The next prime is 687660986891. The reversal of 687660986880 is 88689066786.

687660986880 is a `hidden beast` number, since 6 + 8 + 7 + 6 + 609 + 8 + 6 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 687660986799 and 687660986808.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5414653377 + ... + 5414653503.

It is an arithmetic number, because the mean of its divisors is an integer number (1596469248).

Almost surely, 2^687660986880 is an apocalyptic number.

687660986880 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 687660986880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532610478080).

687660986880 is an abundant number, since it is smaller than the sum of its proper divisors (2377559969280).

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

687660986880 is a wasteful number, since it uses less digits than its factorization.

687660986880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 687660986880 in words is "six hundred eighty-seven billion, six hundred sixty million, nine hundred eighty-six thousand, eight hundred eighty".