1687241060064 has 336 divisors, whose sum is σ = 5991416081280. Its totient is φ = 456695988480.

The previous prime is 1687241060059. The next prime is 1687241060081. The reversal of 1687241060064 is 4600601427861.

1687241060064 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 24 + 10 + 600 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2830719 + ... + 3374529.

It is an arithmetic number, because the mean of its divisors is an integer number (17831595480).

Almost surely, 2^{1687241060064} is an apocalyptic number.

1687241060064 is a gapful number since it is divisible by the number (14) 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 1687241060064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2995708040640).

1687241060064 is an abundant number, since it is smaller than the sum of its proper divisors (4304175021216).

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

1687241060064 is an equidigital number, since it uses as much as digits as its factorization.

1687241060064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543865 (or 543842 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1687241060064 in words is "one trillion, six hundred eighty-seven billion, two hundred forty-one million, sixty thousand, sixty-four".