687896064000 has 1456 divisors, whose sum is σ = 2737396814880. Its totient is φ = 171992678400.

The previous prime is 687896063993. The next prime is 687896064017. The reversal of 687896064000 is 460698786.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 111 ways as a sum of consecutive naturals, for example, 7091711952 + ... + 7091712048.

It is an arithmetic number, because the mean of its divisors is an integer number (1880080230).

Almost surely, 2^687896064000 is an apocalyptic number.

687896064000 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 687896064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368698407440).

687896064000 is an abundant number, since it is smaller than the sum of its proper divisors (2049500750880).

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

687896064000 is an frugal number, since it uses more digits than its factorization.

687896064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 687896064000 in words is "six hundred eighty-seven billion, eight hundred ninety-six million, sixty-four thousand".