687685681778592 has 384 divisors, whose sum is σ = 2133726770036736. Its totient is φ = 189775872000000.

The previous prime is 687685681778507. The next prime is 687685681778597. The reversal of 687685681778592 is 295877186586786.

It is a Harshad number since it is a multiple of its sum of digits (93).

It is a junction number, because it is equal to n+sod(n) for n = 687685681778496 and 687685681778505.

It is not an unprimeable number, because it can be changed into a prime (687685681778597) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 89530744992 + ... + 89530752672.

It is an arithmetic number, because the mean of its divisors is an integer number (5556580130304).

Almost surely, 2^{687685681778592} is an apocalyptic number.

687685681778592 is a gapful number since it is divisible by the number (62) 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 687685681778592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1066863385018368).

687685681778592 is an abundant number, since it is smaller than the sum of its proper divisors (1446041088258144).

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

687685681778592 is a wasteful number, since it uses less digits than its factorization.

687685681778592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15484 (or 15476 counting only the distinct ones).

The product of its digits is 136559001600, while the sum is 93.

The spelling of 687685681778592 in words is "six hundred eighty-seven trillion, six hundred eighty-five billion, six hundred eighty-one million, seven hundred seventy-eight thousand, five hundred ninety-two".