687879640000 has 560 divisors, whose sum is σ = 2007386180800. Its totient is φ = 233694720000.

The previous prime is 687879639929. The next prime is 687879640003. The reversal of 687879640000 is 46978786.

It is a tau number, because it is divible by the number of its divisors (560).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (687879640003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2483319862 + ... + 2483320138.

It is an arithmetic number, because the mean of its divisors is an integer number (3584618180).

Almost surely, 2^687879640000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 687879640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003693090400).

687879640000 is an abundant number, since it is smaller than the sum of its proper divisors (1319506540800).

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

687879640000 is an equidigital number, since it uses as much as digits as its factorization.

687879640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 55.

The spelling of 687879640000 in words is "six hundred eighty-seven billion, eight hundred seventy-nine million, six hundred forty thousand".