1688480571690 has 384 divisors, whose sum is σ = 5516120736000. Its totient is φ = 364971847680.

The previous prime is 1688480571689. The next prime is 1688480571749. The reversal of 1688480571690 is 961750848861.

1688480571690 is a `hidden beast` number, since 1 + 6 + 8 + 8 + 480 + 57 + 16 + 90 = 666.

It is a super-2 number, since 2×1688480571690² (a number of 25 digits) contains 22 as substring.

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, 10472406 + ... + 10632414.

It is an arithmetic number, because the mean of its divisors is an integer number (14364897750).

Almost surely, 2^{1688480571690} is an apocalyptic number.

1688480571690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1688480571690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758060368000).

1688480571690 is an abundant number, since it is smaller than the sum of its proper divisors (3827640164310).

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

1688480571690 is a wasteful number, since it uses less digits than its factorization.

1688480571690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160083 (or 160066 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 1688480571690 in words is "one trillion, six hundred eighty-eight billion, four hundred eighty million, five hundred seventy-one thousand, six hundred ninety".