687331008000 has 3200 divisors, whose sum is σ = 3321963380736. Its totient is φ = 137355264000.

The previous prime is 687331007939. The next prime is 687331008017. The reversal of 687331008000 is 800133786.

It is a tau number, because it is divible by the number of its divisors (3200).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14624063977 + ... + 14624064023.

Almost surely, 2^687331008000 is an apocalyptic number.

687331008000 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 687331008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1660981690368).

687331008000 is an abundant number, since it is smaller than the sum of its proper divisors (2634632372736).

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

687331008000 is a wasteful number, since it uses less digits than its factorization.

687331008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 687331008000 in words is "six hundred eighty-seven billion, three hundred thirty-one million, eight thousand".