1689460416000 has 1680 divisors, whose sum is σ = 7357444071120. Its totient is φ = 385639833600.

The previous prime is 1689460415989. The next prime is 1689460416013. The reversal of 1689460416000 is 6140649861.

1689460416000 is a `hidden beast` number, since 16 + 89 + 460 + 41 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 2286143631 + ... + 2286144369.

Almost surely, 2^{1689460416000} is an apocalyptic number.

1689460416000 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 1689460416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3678722035560).

1689460416000 is an abundant number, since it is smaller than the sum of its proper divisors (5667983655120).

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

1689460416000 is an frugal number, since it uses more digits than its factorization.

1689460416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 1689460416000 in words is "one trillion, six hundred eighty-nine billion, four hundred sixty million, four hundred sixteen thousand".