687410864824320 has 10080 divisors, whose sum is σ = 3514990729230288. Its totient is φ = 126880145473536.

The previous prime is 687410864824319. The next prime is 687410864824349. The reversal of 687410864824320 is 23428468014786.

It is a happy number.

687410864824320 is a `hidden beast` number, since 6 + 8 + 7 + 4 + 10 + 86 + 482 + 43 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 340864940150784 + 346545924673536 = 18462528^2 + 18615744^2 .

It is a tau number, because it is divible by the number of its divisors (10080).

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 polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 12970016317414 + ... + 12970016317466.

Almost surely, 2^{687410864824320} is an apocalyptic number.

687410864824320 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 687410864824320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757495364615144).

687410864824320 is an abundant number, since it is smaller than the sum of its proper divisors (2827579864405968).

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

687410864824320 is a wasteful number, since it uses less digits than its factorization.

687410864824320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 687410864824320 in words is "six hundred eighty-seven trillion, four hundred ten billion, eight hundred sixty-four million, eight hundred twenty-four thousand, three hundred twenty".