1689937966080 has 1320 divisors, whose sum is σ = 7587550427688. Its totient is φ = 356502601728.

The previous prime is 1689937966061. The next prime is 1689937966097. The reversal of 1689937966080 is 806697399861.

1689937966080 is a `hidden beast` number, since 1 + 6 + 8 + 9 + 9 + 3 + 7 + 9 + 6 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 81951657984 + 1607986308096 = 286272^2 + 1268064^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 264173442 + ... + 264179838.

Almost surely, 2^{1689937966080} is an apocalyptic number.

1689937966080 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 1689937966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3793775213844).

1689937966080 is an abundant number, since it is smaller than the sum of its proper divisors (5897612461608).

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

1689937966080 is a wasteful number, since it uses less digits than its factorization.

1689937966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6461 (or 6427 counting only the distinct ones).

The product of its (nonzero) digits is 211631616, while the sum is 72.

The spelling of 1689937966080 in words is "one trillion, six hundred eighty-nine billion, nine hundred thirty-seven million, nine hundred sixty-six thousand, eighty".