687932889336 has 192 divisors, whose sum is σ = 2324436192000. Its totient is φ = 178564953600.

The previous prime is 687932889269. The next prime is 687932889353. The reversal of 687932889336 is 633988239786.

687932889336 is a `hidden beast` number, since 6 + 8 + 7 + 9 + 3 + 288 + 9 + 336 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8447340 + ... + 8528388.

It is an arithmetic number, because the mean of its divisors is an integer number (12106438500).

Almost surely, 2^687932889336 is an apocalyptic number.

687932889336 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 687932889336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162218096000).

687932889336 is an abundant number, since it is smaller than the sum of its proper divisors (1636503302664).

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

687932889336 is a wasteful number, since it uses less digits than its factorization.

687932889336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82610 (or 82603 counting only the distinct ones).

The product of its digits is 564350976, while the sum is 72.

The spelling of 687932889336 in words is "six hundred eighty-seven billion, nine hundred thirty-two million, eight hundred eighty-nine thousand, three hundred thirty-six".