687491712000 has 1584 divisors, whose sum is σ = 2770156561536. Its totient is φ = 169703424000.

The previous prime is 687491711993. The next prime is 687491712001. The reversal of 687491712000 is 217194786.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (687491712001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22177151985 + ... + 22177152015.

Almost surely, 2^687491712000 is an apocalyptic number.

687491712000 is a gapful number since it is divisible by the number (60) 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 687491712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385078280768).

687491712000 is an abundant number, since it is smaller than the sum of its proper divisors (2082664849536).

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

687491712000 is an equidigital number, since it uses as much as digits as its factorization.

687491712000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 687491712000 in words is "six hundred eighty-seven billion, four hundred ninety-one million, seven hundred twelve thousand".