687918628683000 has 3072 divisors, whose sum is σ = 2863040753664000. Its totient is φ = 151770516480000.

The previous prime is 687918628682963. The next prime is 687918628683053. The reversal of 687918628683000 is 386826819786.

687918628683000 is a `hidden beast` number, since 6 + 87 + 9 + 186 + 2 + 8 + 68 + 300 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 687918628683000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 1111338656691 + ... + 1111338657309.

It is an arithmetic number, because the mean of its divisors is an integer number (931979412000).

Almost surely, 2^{687918628683000} is an apocalyptic number.

687918628683000 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 687918628683000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1431520376832000).

687918628683000 is an abundant number, since it is smaller than the sum of its proper divisors (2175122124981000).

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

687918628683000 is a wasteful number, since it uses less digits than its factorization.

687918628683000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 334430208, while the sum is 72.

The spelling of 687918628683000 in words is "six hundred eighty-seven trillion, nine hundred eighteen billion, six hundred twenty-eight million, six hundred eighty-three thousand".