1667689853940 has 144 divisors (see below), whose sum is σ = 5521919195520. Its totient is φ = 404040695040.

The previous prime is 1667689853927. The next prime is 1667689854023. The reversal of 1667689853940 is 493589867661.

1667689853940 is a `hidden beast` number, since 1 + 6 + 6 + 7 + 6 + 89 + 8 + 539 + 4 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2984001 + ... + 3498519.

It is an arithmetic number, because the mean of its divisors is an integer number (38346661080).

Almost surely, 2^{1667689853940} is an apocalyptic number.

1667689853940 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 1667689853940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2760959597760).

1667689853940 is an abundant number, since it is smaller than the sum of its proper divisors (3854229341580).

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

1667689853940 is a wasteful number, since it uses less digits than its factorization.

1667689853940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516182 (or 516177 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 1667689853940 in words is "one trillion, six hundred sixty-seven billion, six hundred eighty-nine million, eight hundred fifty-three thousand, nine hundred forty".