687538615712256 has 5760 divisors, whose sum is σ = 2871288257789952. Its totient is φ = 160635786854400.

The previous prime is 687538615712227. The next prime is 687538615712257. The reversal of 687538615712256 is 652217516835786.

687538615712256 is a `hidden beast` number, since 6 + 8 + 7 + 5 + 386 + 15 + 7 + 1 + 225 + 6 = 666.

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

Its product of digits (1016064000) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687538615712257) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 12972426711526 + ... + 12972426711578.

Almost surely, 2^{687538615712256} is an apocalyptic number.

687538615712256 is a gapful number since it is divisible by the number (66) 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 687538615712256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1435644128894976).

687538615712256 is an abundant number, since it is smaller than the sum of its proper divisors (2183749642077696).

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

687538615712256 is an equidigital number, since it uses as much as digits as its factorization.

687538615712256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 126 counting only the distinct ones).

The product of its digits is 1016064000, while the sum is 72.

The spelling of 687538615712256 in words is "six hundred eighty-seven trillion, five hundred thirty-eight billion, six hundred fifteen million, seven hundred twelve thousand, two hundred fifty-six".