687755204136 has 768 divisors, whose sum is σ = 2605813862400. Its totient is φ = 162316224000.

The previous prime is 687755204077. The next prime is 687755204159. The reversal of 687755204136 is 631402557786.

687755204136 is a `hidden beast` number, since 6 + 8 + 7 + 75 + 520 + 41 + 3 + 6 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1089944541 + ... + 1089945171.

It is an arithmetic number, because the mean of its divisors is an integer number (3392986800).

Almost surely, 2^687755204136 is an apocalyptic number.

687755204136 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 687755204136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302906931200).

687755204136 is an abundant number, since it is smaller than the sum of its proper divisors (1918058658264).

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

687755204136 is a wasteful number, since it uses less digits than its factorization.

687755204136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 687755204136 in words is "six hundred eighty-seven billion, seven hundred fifty-five million, two hundred four thousand, one hundred thirty-six".