1687410990720 has 512 divisors, whose sum is σ = 7355388096000. Its totient is φ = 356024844288.

The previous prime is 1687410990719. The next prime is 1687410990743. The reversal of 1687410990720 is 270990147861.

It is a super-2 number, since 2×1687410990720² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1035936 + ... + 2109024.

It is an arithmetic number, because the mean of its divisors is an integer number (14365992375).

Almost surely, 2^{1687410990720} is an apocalyptic number.

1687410990720 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 1687410990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677694048000).

1687410990720 is an abundant number, since it is smaller than the sum of its proper divisors (5667977105280).

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

1687410990720 is a wasteful number, since it uses less digits than its factorization.

1687410990720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073137 (or 1073119 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The spelling of 1687410990720 in words is "one trillion, six hundred eighty-seven billion, four hundred ten million, nine hundred ninety thousand, seven hundred twenty".