687777916896 has 144 divisors (see below), whose sum is σ = 2307384188928. Its totient is φ = 190168992000.

The previous prime is 687777916877. The next prime is 687777916901. The reversal of 687777916896 is 698619777786.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 5440080 + ... + 5565071.

It is an arithmetic number, because the mean of its divisors is an integer number (16023501312).

Almost surely, 2^687777916896 is an apocalyptic number.

It is an amenable number.

687777916896 is an abundant number, since it is smaller than the sum of its proper divisors (1619606272032).

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

687777916896 is a wasteful number, since it uses less digits than its factorization.

687777916896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11005205 (or 11005194 counting only the distinct ones).

The product of its digits is 2688505344, while the sum is 81.

The spelling of 687777916896 in words is "six hundred eighty-seven billion, seven hundred seventy-seven million, nine hundred sixteen thousand, eight hundred ninety-six".