1642086688704 has 448 divisors, whose sum is σ = 5592019783680. Its totient is φ = 412892282880.

The previous prime is 1642086688663. The next prime is 1642086688799. The reversal of 1642086688704 is 4078866802461.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

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, 71824027 + ... + 71846885.

Almost surely, 2^{1642086688704} is an apocalyptic number.

1642086688704 is a gapful number since it is divisible by the number (14) 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 1642086688704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796009891840).

1642086688704 is an abundant number, since it is smaller than the sum of its proper divisors (3949933094976).

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

1642086688704 is a wasteful number, since it uses less digits than its factorization.

1642086688704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23048 (or 23038 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 1642086688704 in words is "one trillion, six hundred forty-two billion, eighty-six million, six hundred eighty-eight thousand, seven hundred four".