1687521694320 has 960 divisors, whose sum is σ = 7548876840960. Its totient is φ = 327226521600.

The previous prime is 1687521694319. The next prime is 1687521694351. The reversal of 1687521694320 is 234961257861.

It is a happy number.

1687521694320 is a `hidden beast` number, since 1 + 6 + 8 + 7 + 521 + 6 + 94 + 3 + 20 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70563165 + ... + 70587075.

It is an arithmetic number, because the mean of its divisors is an integer number (7863413376).

It is a 1-persistent number, because it is pandigital, but 2⋅1687521694320 = 3375043388640 is not.

Almost surely, 2^{1687521694320} is an apocalyptic number.

1687521694320 is a gapful number since it is divisible by the number (10) 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 1687521694320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3774438420480).

1687521694320 is an abundant number, since it is smaller than the sum of its proper divisors (5861355146640).

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

1687521694320 is a wasteful number, since it uses less digits than its factorization.

1687521694320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24034 (or 24025 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 1687521694320 in words is "one trillion, six hundred eighty-seven billion, five hundred twenty-one million, six hundred ninety-four thousand, three hundred twenty".