687140515119360 has 1152 divisors, whose sum is σ = 2375992275148800. Its totient is φ = 168683252613120.

The previous prime is 687140515119349. The next prime is 687140515119367. The reversal of 687140515119360 is 63911515041786.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 687140515119360.

It is not an unprimeable number, because it can be changed into a prime (687140515119367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 828878787426 + ... + 828878788254.

It is an arithmetic number, because the mean of its divisors is an integer number (2062493294400).

Almost surely, 2^{687140515119360} is an apocalyptic number.

687140515119360 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 687140515119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187996137574400).

687140515119360 is an abundant number, since it is smaller than the sum of its proper divisors (1688851760029440).

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

687140515119360 is a wasteful number, since it uses less digits than its factorization.

687140515119360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1959 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 687140515119360 in words is "six hundred eighty-seven trillion, one hundred forty billion, five hundred fifteen million, one hundred nineteen thousand, three hundred sixty".