1689010928640 has 1408 divisors, whose sum is σ = 7164041472000. Its totient is φ = 369210949632.

The previous prime is 1689010928621. The next prime is 1689010928653. The reversal of 1689010928640 is 468290109861.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3900717864 + ... + 3900718296.

Almost surely, 2^{1689010928640} is an apocalyptic number.

1689010928640 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 1689010928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582020736000).

1689010928640 is an abundant number, since it is smaller than the sum of its proper divisors (5475030543360).

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

1689010928640 is a wasteful number, since it uses less digits than its factorization.

1689010928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1689010928640 in words is "one trillion, six hundred eighty-nine billion, ten million, nine hundred twenty-eight thousand, six hundred forty".